509353073656 has 64 divisors (see below), whose sum is σ = 1142120710080. Its totient is φ = 208386846720.

The previous prime is 509353073623. The next prime is 509353073657. The reversal of 509353073656 is 656370353905.

It is a super-2 number, since 2×509353073656² (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 (509353073657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2209305 + ... + 2428936.

It is an arithmetic number, because the mean of its divisors is an integer number (17845636095).

Almost surely, 2^509353073656 is an apocalyptic number.

509353073656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

509353073656 is an abundant number, since it is smaller than the sum of its proper divisors (632767636424).

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

509353073656 is a wasteful number, since it uses less digits than its factorization.

509353073656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638344 (or 4638340 counting only the distinct ones).

The product of its (nonzero) digits is 7654500, while the sum is 52.

The spelling of 509353073656 in words is "five hundred nine billion, three hundred fifty-three million, seventy-three thousand, six hundred fifty-six".