531863904100 has 81 divisors (see below), whose sum is σ = 1162834429953. Its totient is φ = 211155709440.

The previous prime is 531863904031. The next prime is 531863904163. The reversal of 531863904100 is 1409368135.

The square root of 531863904100 is 729290.

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 458743417636 + 73120486464 = 677306^2 + 270408^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1699245544 + ... + 1699245856.

Almost surely, 2^531863904100 is an apocalyptic number.

531863904100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

531863904100 is the 729290-th square number.

It is an amenable number.

531863904100 is an abundant number, since it is smaller than the sum of its proper divisors (630970525853).

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

531863904100 is an equidigital number, since it uses as much as digits as its factorization.

531863904100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 531863904100 in words is "five hundred thirty-one billion, eight hundred sixty-three million, nine hundred four thousand, one hundred".