531286804125 has 384 divisors, whose sum is σ = 1300360089600. Its totient is φ = 201942720000.

The previous prime is 531286804039. The next prime is 531286804151. The reversal of 531286804125 is 521408682135.

531286804125 is a `hidden beast` number, since 53 + 128 + 68 + 0 + 412 + 5 = 666.

It is not a de Polignac number, because 531286804125 - 2¹⁶ = 531286738589 is a prime.

It is a super-2 number, since 2×531286804125² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47724810 + ... + 47735940.

It is an arithmetic number, because the mean of its divisors is an integer number (3386354400).

Almost surely, 2^531286804125 is an apocalyptic number.

531286804125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

531286804125 is an abundant number, since it is smaller than the sum of its proper divisors (769073285475).

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

531286804125 is a wasteful number, since it uses less digits than its factorization.

531286804125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11218 (or 11205 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 531286804125 in words is "five hundred thirty-one billion, two hundred eighty-six million, eight hundred four thousand, one hundred twenty-five".