5238140625 has 63 divisors (see below), whose sum is σ = 9506890029. Its totient is φ = 2779200000.

The previous prime is 5238140617. The next prime is 5238140669. The reversal of 5238140625 is 5260418325.

The square root of 5238140625 is 72375.

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

5238140625 is a `hidden beast` number, since 5 + 23 + 8 + 1 + 4 + 0 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 3082581441 + 2155559184 = 55521^2 + 46428^2 .

It is not a de Polignac number, because 5238140625 - 2³ = 5238140617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5238140625.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 27140529 + ... + 27140721.

Almost surely, 2^5238140625 is an apocalyptic number.

5238140625 is the 72375-th square number.

5238140625 is the 36188-th centered octagonal number.

It is an amenable number.

5238140625 is a deficient number, since it is larger than the sum of its proper divisors (4268749404).

5238140625 is an frugal number, since it uses more digits than its factorization.

5238140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The cubic root of 5238140625 is about 1736.7036531473.

Multiplying 5238140625 by its sum of digits (36), we get a square (188573062500 = 434250²).

Multiplying 5238140625 by its product of nonzero digits (57600), we get a square (301716900000000 = 17370000²).

The spelling of 5238140625 in words is "five billion, two hundred thirty-eight million, one hundred forty thousand, six hundred twenty-five".