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25314401025 = 3252106072
BaseRepresentation
bin10111100100110110…
…110001101100000001
32102100012111210221100
4113210312301230001
5403320441313100
615343531245013
71554212600304
oct274466615401
972305453840
1025314401025
11a810357191
124aa58a9769
132505707124
141322028b3b
159d25c8400
hex5e4db1b01

25314401025 has 27 divisors (see below), whose sum is σ = 45345179971. Its totient is φ = 13499741040.

The previous prime is 25314401017. The next prime is 25314401039. The reversal of 25314401025 is 52010441352.

The square root of 25314401025 is 159105.

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

25314401025 is a `hidden beast` number, since 253 + 1 + 4 + 401 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9113184369 + 16201216656 = 95463^2 + 127284^2 .

It is not a de Polignac number, because 25314401025 - 23 = 25314401017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25314401025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2381272 + ... + 2391878.

Almost surely, 225314401025 is an apocalyptic number.

25314401025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25314401025 is the 159105-th square number.

25314401025 is the 79553-rd centered octagonal number.

It is an amenable number.

25314401025 is a deficient number, since it is larger than the sum of its proper divisors (20030778946).

25314401025 is an frugal number, since it uses more digits than its factorization.

25314401025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21230 (or 10615 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 25314401025 its reverse (52010441352), we get a palindrome (77324842377).

The spelling of 25314401025 in words is "twenty-five billion, three hundred fourteen million, four hundred one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 10607 31821 53035 95463 159105 265175 477315 795525 2386575 112508449 337525347 562542245 1012576041 1687626735 2812711225 5062880205 8438133675 25314401025