252135431985529 has 3 divisors (see below), whose sum is σ = 252135447864303. Its totient is φ = 252135416106756.

The previous prime is 252135431985511. The next prime is 252135431985637. The reversal of 252135431985529 is 925589134531252.

The square root of 252135431985529 is 15878773.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 248699050338025 + 3436381647504 = 15770195^2 + 1853748^2 .

It is a de Polignac number, because none of the positive numbers 2^k-252135431985529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252135431985929) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7939387 + ... + 23818159.

It is an arithmetic number, because the mean of its divisors is an integer number (84045149288101).

Almost surely, 2^{252135431985529} is an apocalyptic number.

252135431985529 is the 15878773-rd square number.

252135431985529 is the 7939387-th centered octagonal number.

It is an amenable number.

252135431985529 is a deficient number, since it is larger than the sum of its proper divisors (15878774).

252135431985529 is an frugal number, since it uses more digits than its factorization.

252135431985529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31757546 (or 15878773 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 64.

The spelling of 252135431985529 in words is "two hundred fifty-two trillion, one hundred thirty-five billion, four hundred thirty-one million, nine hundred eighty-five thousand, five hundred twenty-nine".