2531205513252 has 72 divisors (see below), whose sum is σ = 7295827678776. Its totient is φ = 733018788864.

The previous prime is 2531205513241. The next prime is 2531205513253. The reversal of 2531205513252 is 2523155021352.

2531205513252 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 20 + 551 + 32 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 242956324836 + 2288249188416 = 492906^2 + 1512696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2531205513253) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 159067303 + ... + 159083214.

It is an arithmetic number, because the mean of its divisors is an integer number (101330939983).

Almost surely, 2^{2531205513252} is an apocalyptic number.

It is an amenable number.

2531205513252 is an abundant number, since it is smaller than the sum of its proper divisors (4764622165524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2531205513252 is a wasteful number, since it uses less digits than its factorization.

2531205513252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318150557 (or 318150552 counting only the distinct ones).

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

The spelling of 2531205513252 in words is "two trillion, five hundred thirty-one billion, two hundred five million, five hundred thirteen thousand, two hundred fifty-two".