531207051264 has 288 divisors, whose sum is σ = 1674815688000. Its totient is φ = 167746609152.

The previous prime is 531207051239. The next prime is 531207051293. The reversal of 531207051264 is 462150702135.

531207051264 is a `hidden beast` number, since 5 + 3 + 12 + 0 + 70 + 512 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9427527 + ... + 9483705.

It is an arithmetic number, because the mean of its divisors is an integer number (5815332250).

Almost surely, 2^531207051264 is an apocalyptic number.

531207051264 is a gapful number since it is divisible by the number (54) 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 531207051264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837407844000).

531207051264 is an abundant number, since it is smaller than the sum of its proper divisors (1143608636736).

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

531207051264 is an equidigital number, since it uses as much as digits as its factorization.

531207051264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56235 (or 56203 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 531207051264 its reverse (462150702135), we get a palindrome (993357753399).

The spelling of 531207051264 in words is "five hundred thirty-one billion, two hundred seven million, fifty-one thousand, two hundred sixty-four".