538472025 has 243 divisors, whose sum is σ = 1290533751. Its totient is φ = 213857280.

The previous prime is 538472003. The next prime is 538472041. The reversal of 538472025 is 520274835.

The square root of 538472025 is 23205.

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

It can be written as a sum of positive squares in 13 ways, for example, as 392158809 + 146313216 = 19803^2 + 12096^2 .

It is not a de Polignac number, because 538472025 - 2⁵ = 538471993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 31674817 + ... + 31674833.

Almost surely, 2^538472025 is an apocalyptic number.

538472025 is the 23205-th square number.

538472025 is the 11603-rd centered octagonal number.

It is an amenable number.

538472025 is an abundant number, since it is smaller than the sum of its proper divisors (752061726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

538472025 is a wasteful number, since it uses less digits than its factorization.

538472025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The cubic root of 538472025 is about 813.5564923161.

Multiplying 538472025 by its sum of digits (36), we get a square (19384992900 = 139230²).

The spelling of 538472025 in words is "five hundred thirty-eight million, four hundred seventy-two thousand, twenty-five".