38531504390625 has 63 divisors (see below), whose sum is σ = 69574084420789. Its totient is φ = 20548894200000.

The previous prime is 38531504390581. The next prime is 38531504390627. The reversal of 38531504390625 is 52609340513583.

The square root of 38531504390625 is 6207375.

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

38531504390625 is a `hidden beast` number, since 3 + 8 + 5 + 3 + 1 + 5 + 0 + 4 + 3 + 9 + 0 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 37586230439121 + 945273951504 = 6130761^2 + 972252^2 .

It is not a de Polignac number, because 38531504390625 - 2²³ = 38531496002017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38531504390627) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2327757349 + ... + 2327773901.

Almost surely, 2^{38531504390625} is an apocalyptic number.

38531504390625 is the 6207375-th square number.

38531504390625 is the 3103688-th centered octagonal number.

It is an amenable number.

38531504390625 is a deficient number, since it is larger than the sum of its proper divisors (31042580030164).

38531504390625 is an frugal number, since it uses more digits than its factorization.

38531504390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33142 (or 16561 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 38531504390625 in words is "thirty-eight trillion, five hundred thirty-one billion, five hundred four million, three hundred ninety thousand, six hundred twenty-five".