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525244442525 = 521110118910691
BaseRepresentation
bin1111010010010110000…
…00100010011110011101
31212012202012002021011022
413221023000202132131
532101200034130100
61041143255133525
752643022045215
oct7511300423635
91765665067138
10525244442525
11192833881840
12859673742a5
133a6b81cc22a
141b5c9c3b245
15d9e1edce85
hex7a4b02279d

525244442525 has 24 divisors (see below), whose sum is σ = 717547297248. Its totient is φ = 378213800000.

The previous prime is 525244442519. The next prime is 525244442551.

525244442525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 525244442525 - 212 = 525244438429 is a prime.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9427571 + ... + 9483120.

It is an arithmetic number, because the mean of its divisors is an integer number (29897804052).

Almost surely, 2525244442525 is an apocalyptic number.

525244442525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

525244442525 is a deficient number, since it is larger than the sum of its proper divisors (192302854723).

525244442525 is a wasteful number, since it uses less digits than its factorization.

525244442525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18910813 (or 18910808 counting only the distinct ones).

The product of its digits is 2560000, while the sum is 44.

It can be divided in two parts, 525244 and 442525, that added together give a palindrome (967769).

The spelling of 525244442525 in words is "five hundred twenty-five billion, two hundred forty-four million, four hundred forty-two thousand, five hundred twenty-five".

Divisors: 1 5 11 25 55 101 275 505 1111 2525 5555 27775 18910691 94553455 208017601 472767275 1040088005 1909979791 5200440025 9549898955 21009777701 47749494775 105048888505 525244442525