531373403912832 has 1536 divisors, whose sum is σ = 1813522377830400. Its totient is φ = 152569104629760.

The previous prime is 531373403912831. The next prime is 531373403912839. The reversal of 531373403912832 is 238219304373135.

531373403912832 is a `hidden beast` number, since 5 + 3 + 1 + 3 + 73 + 403 + 91 + 2 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (531373403912831) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 971432182383 + ... + 971432182929.

It is an arithmetic number, because the mean of its divisors is an integer number (1180678631400).

Almost surely, 2^{531373403912832} is an apocalyptic number.

531373403912832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531373403912832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906761188915200).

531373403912832 is an abundant number, since it is smaller than the sum of its proper divisors (1282148973917568).

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

531373403912832 is a wasteful number, since it uses less digits than its factorization.

531373403912832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 531373403912832 in words is "five hundred thirty-one trillion, three hundred seventy-three billion, four hundred three million, nine hundred twelve thousand, eight hundred thirty-two".