531257481216 has 1440 divisors, whose sum is σ = 2108826720000. Its totient is φ = 130069463040.

The previous prime is 531257481191. The next prime is 531257481217. The reversal of 531257481216 is 612184752135.

531257481216 is a `hidden beast` number, since 53 + 1 + 2 + 574 + 8 + 1 + 21 + 6 = 666.

It is a super-2 number, since 2×531257481216² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531257481217) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2669635485 + ... + 2669635683.

It is an arithmetic number, because the mean of its divisors is an integer number (1464463000).

Almost surely, 2^531257481216 is an apocalyptic number.

531257481216 is a gapful number since it is divisible by the number (56) 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 531257481216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054413360000).

531257481216 is an abundant number, since it is smaller than the sum of its proper divisors (1577569238784).

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

531257481216 is a wasteful number, since it uses less digits than its factorization.

531257481216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 241 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 531257481216 in words is "five hundred thirty-one billion, two hundred fifty-seven million, four hundred eighty-one thousand, two hundred sixteen".