506570125824 has 640 divisors, whose sum is σ = 1765387008000. Its totient is φ = 140435472384.

The previous prime is 506570125819. The next prime is 506570125877. The reversal of 506570125824 is 428521075605.

506570125824 is a `hidden beast` number, since 5 + 0 + 6 + 57 + 0 + 12 + 582 + 4 = 666.

It is a super-2 number, since 2×506570125824² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506570125824.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 473872362 + ... + 473873430.

It is an arithmetic number, because the mean of its divisors is an integer number (2758417200).

Almost surely, 2^506570125824 is an apocalyptic number.

506570125824 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 506570125824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882693504000).

506570125824 is an abundant number, since it is smaller than the sum of its proper divisors (1258816882176).

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

506570125824 is a wasteful number, since it uses less digits than its factorization.

506570125824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 506570125824 in words is "five hundred six billion, five hundred seventy million, one hundred twenty-five thousand, eight hundred twenty-four".