510913016820 has 72 divisors (see below), whose sum is σ = 1631336310240. Its totient is φ = 129072761280.

The previous prime is 510913016819. The next prime is 510913016833. The reversal of 510913016820 is 28610319015.

510913016820 is a `hidden beast` number, since 510 + 9 + 130 + 1 + 6 + 8 + 2 + 0 = 666.

It is a super-2 number, since 2×510913016820² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74691466 + ... + 74698305.

Almost surely, 2^510913016820 is an apocalyptic number.

It is an amenable number.

510913016820 is an abundant number, since it is smaller than the sum of its proper divisors (1120423293420).

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

510913016820 is a wasteful number, since it uses less digits than its factorization.

510913016820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149389805 (or 149389800 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 510913016820 in words is "five hundred ten billion, nine hundred thirteen million, sixteen thousand, eight hundred twenty".