252104183528521 has 9 divisors (see below), whose sum is σ = 252728592345333. Its totient is φ = 251481313743840.

The previous prime is 252104183528507. The next prime is 252104183528647. The reversal of 252104183528521 is 125825381401252.

The square root of 252104183528521 is 15877789.

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

It can be written as a sum of positive squares in 4 ways, for example, as 80523002318521 + 171581181210000 = 8973461^2 + 13098900^2 .

It is not a de Polignac number, because 252104183528521 - 2⁹ = 252104183528009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252104183525521) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6493996291 + ... + 6494035111.

It is an arithmetic number, because the mean of its divisors is an integer number (28080954705037).

Almost surely, 2^{252104183528521} is an apocalyptic number.

252104183528521 is the 15877789-th square number.

252104183528521 is the 7938895-th centered octagonal number.

It is an amenable number.

252104183528521 is a deficient number, since it is larger than the sum of its proper divisors (624408816812).

252104183528521 is an frugal number, since it uses more digits than its factorization.

252104183528521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78460 (or 39230 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 49.

The spelling of 252104183528521 in words is "two hundred fifty-two trillion, one hundred four billion, one hundred eighty-three million, five hundred twenty-eight thousand, five hundred twenty-one".