52521180625 has 45 divisors (see below), whose sum is σ = 67026859383. Its totient is φ = 41141496000.

The previous prime is 52521180611. The next prime is 52521180637. The reversal of 52521180625 is 52608112525.

The square root of 52521180625 is 229175.

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

It can be written as a sum of positive squares in 7 ways, for example, as 51021322641 + 1499857984 = 225879^2 + 38728^2 .

It is not a de Polignac number, because 52521180625 - 2²⁵ = 52487626193 is a prime.

It is a super-4 number, since 4×52521180625⁴ (a number of 44 digits) contains 4444 as substring.

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 509914324 + ... + 509914426.

Almost surely, 2^52521180625 is an apocalyptic number.

52521180625 is the 229175-th square number.

52521180625 is the 114588-th centered octagonal number.

It is an amenable number.

52521180625 is a deficient number, since it is larger than the sum of its proper divisors (14505678758).

52521180625 is an frugal number, since it uses more digits than its factorization.

52521180625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The spelling of 52521180625 in words is "fifty-two billion, five hundred twenty-one million, one hundred eighty thousand, six hundred twenty-five".