527112300625 has 45 divisors (see below), whose sum is σ = 667156036261. Its totient is φ = 416331776000.

The previous prime is 527112300607. The next prime is 527112300667. The reversal of 527112300625 is 526003211725.

The square root of 527112300625 is 726025.

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

It can be written as a sum of positive squares in 22 ways, for example, as 488107630609 + 39004670016 = 698647^2 + 197496^2 .

It is not a de Polignac number, because 527112300625 - 2⁷ = 527112300497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2051020497 + ... + 2051020753.

Almost surely, 2^527112300625 is an apocalyptic number.

527112300625 is the 726025-th square number.

527112300625 is the 363013-rd centered octagonal number.

It is an amenable number.

527112300625 is a deficient number, since it is larger than the sum of its proper divisors (140043735636).

527112300625 is an frugal number, since it uses more digits than its factorization.

527112300625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 527112300625 in words is "five hundred twenty-seven billion, one hundred twelve million, three hundred thousand, six hundred twenty-five".