531360813025 has 81 divisors (see below), whose sum is σ = 781886867961. Its totient is φ = 357171386880.

The previous prime is 531360813017. The next prime is 531360813029. The reversal of 531360813025 is 520318063135.

The square root of 531360813025 is 728945.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29093783761 + 502267029264 = 170569^2 + 708708^2 .

It is not a de Polignac number, because 531360813025 - 2³ = 531360813017 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (531360813029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1505271249 + ... + 1505271601.

Almost surely, 2^531360813025 is an apocalyptic number.

531360813025 is the 728945-th square number.

531360813025 is the 364473-rd centered octagonal number.

It is an amenable number.

531360813025 is a deficient number, since it is larger than the sum of its proper divisors (250526054936).

531360813025 is an frugal number, since it uses more digits than its factorization.

531360813025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 531360813025 in words is "five hundred thirty-one billion, three hundred sixty million, eight hundred thirteen thousand, twenty-five".