531937113048 has 576 divisors, whose sum is σ = 1690895606400. Its totient is φ = 150743577600.

The previous prime is 531937113031. The next prime is 531937113049. The reversal of 531937113048 is 840311739135.

531937113048 is a `hidden beast` number, since 531 + 9 + 3 + 71 + 1 + 3 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 531937112994 and 531937113012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531937113049) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 906195811 + ... + 906196397.

It is an arithmetic number, because the mean of its divisors is an integer number (2935582650).

Almost surely, 2^531937113048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531937113048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845447803200).

531937113048 is an abundant number, since it is smaller than the sum of its proper divisors (1158958493352).

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

531937113048 is a wasteful number, since it uses less digits than its factorization.

531937113048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 531937113048 in words is "five hundred thirty-one billion, nine hundred thirty-seven million, one hundred thirteen thousand, forty-eight".