506052624 has 160 divisors (see below), whose sum is σ = 1701033984. Its totient is φ = 125706240.

The previous prime is 506052623. The next prime is 506052637. The reversal of 506052624 is 426250605.

It is a junction number, because it is equal to n+sod(n) for n = 506052591 and 506052600.

It is not an unprimeable number, because it can be changed into a prime (506052623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82032 + ... + 87984.

Almost surely, 2^506052624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506052624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850516992).

506052624 is an abundant number, since it is smaller than the sum of its proper divisors (1194981360).

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

506052624 is a wasteful number, since it uses less digits than its factorization.

506052624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6005 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 506052624 is about 22495.6134390685. The cubic root of 506052624 is about 796.8903364861.

The spelling of 506052624 in words is "five hundred six million, fifty-two thousand, six hundred twenty-four".