509656356 has 108 divisors (see below), whose sum is σ = 1477921536. Its totient is φ = 147697440.

The previous prime is 509656349. The next prime is 509656373. The reversal of 509656356 is 653656905.

509656356 is a `hidden beast` number, since 5 + 0 + 9 + 6 + 5 + 635 + 6 = 666.

It is a super-2 number, since 2×509656356² = 519499202422397472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97645 + ... + 102731.

Almost surely, 2^509656356 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 509656356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738960768).

509656356 is an abundant number, since it is smaller than the sum of its proper divisors (968265180).

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

509656356 is a wasteful number, since it uses less digits than its factorization.

509656356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5142 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The square root of 509656356 is about 22575.5698931389. The cubic root of 509656356 is about 798.7774848559. Note that the first 3 decimals are identical.

The spelling of 509656356 in words is "five hundred nine million, six hundred fifty-six thousand, three hundred fifty-six".