508345536 has 56 divisors (see below), whose sum is σ = 1348337664. Its totient is φ = 169027840.

The previous prime is 508345507. The next prime is 508345597. The reversal of 508345536 is 635543805.

It is a super-2 number, since 2×508345536² = 516830367942254592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 508345494 and 508345503.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79681 + ... + 85823.

Almost surely, 2^508345536 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 508345536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674168832).

508345536 is an abundant number, since it is smaller than the sum of its proper divisors (839992128).

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

508345536 is a wasteful number, since it uses less digits than its factorization.

508345536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6589 (or 6579 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The square root of 508345536 is about 22546.5193766133. The cubic root of 508345536 is about 798.0920867845.

The spelling of 508345536 in words is "five hundred eight million, three hundred forty-five thousand, five hundred thirty-six".