253131540525 has 18 divisors (see below), whose sum is σ = 453386715210. Its totient is φ = 135003488160.

The previous prime is 253131540517. The next prime is 253131540527. The reversal of 253131540525 is 525045131352.

253131540525 is a `hidden beast` number, since 2 + 5 + 31 + 31 + 540 + 52 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10503380196 + 242628160329 = 102486^2 + 492573^2 .

It is not a de Polignac number, because 253131540525 - 2³ = 253131540517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 253131540525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253131540527) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 562514310 + ... + 562514759.

It is an arithmetic number, because the mean of its divisors is an integer number (25188150845).

Almost surely, 2^253131540525 is an apocalyptic number.

253131540525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253131540525 is a deficient number, since it is larger than the sum of its proper divisors (200255174685).

253131540525 is a wasteful number, since it uses less digits than its factorization.

253131540525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125029085 (or 1125029077 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 253131540525 its reverse (525045131352), we get a palindrome (778176671877).

The spelling of 253131540525 in words is "two hundred fifty-three billion, one hundred thirty-one million, five hundred forty thousand, five hundred twenty-five".