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425540952225 = 325215722772
BaseRepresentation
bin1100011000101000011…
…01111010000010100001
31111200101200101011202100
412030110031322002201
523433001440432400
6523254003241013
742513205261404
oct6142415720241
91450350334670
10425540952225
1115451a856884
126a580979169
1331188c67a1c
141684c321d3b
15b108d23100
hex631437a0a1

425540952225 has 81 divisors (see below), whose sum is σ = 769855997547. Its totient is φ = 224695486080.

The previous prime is 425540952217. The next prime is 425540952227. The reversal of 425540952225 is 522259045524.

The square root of 425540952225 is 652335.

It is a perfect power (a square), and thus also a powerful number.

425540952225 is a `hidden beast` number, since 4 + 2 + 554 + 0 + 95 + 2 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 423281661201 + 2259291024 = 650601^2 + 47532^2 .

It is not a de Polignac number, because 425540952225 - 23 = 425540952217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (425540952227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1536248787 + ... + 1536249063.

Almost surely, 2425540952225 is an apocalyptic number.

425540952225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

425540952225 is the 652335-th square number.

425540952225 is the 326168-th centered octagonal number.

It is an amenable number.

425540952225 is a deficient number, since it is larger than the sum of its proper divisors (344315045322).

425540952225 is an equidigital number, since it uses as much as digits as its factorization.

425540952225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 425540952225 its reverse (522259045524), we get a palindrome (947799997749).

The spelling of 425540952225 in words is "four hundred twenty-five billion, five hundred forty million, nine hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 157 225 277 471 785 831 1385 1413 2355 2493 3925 4155 6925 7065 11775 12465 20775 24649 35325 43489 62325 73947 76729 123245 130467 217445 221841 230187 369735 383645 391401 616225 652335 690561 1087225 1109205 1150935 1848675 1918225 1957005 3261675 3452805 5546025 5754675 6827773 9785025 12046453 17264025 20483319 34138865 36139359 60232265 61449957 102416595 108418077 170694325 180696795 301161325 307249785 512082975 542090385 903483975 1536248925 1891293121 2710451925 5673879363 9456465605 17021638089 28369396815 47282328025 85108190445 141846984075 425540952225