500414638257 has 28 divisors (see below), whose sum is σ = 752113607940. Its totient is φ = 332793888768.

The previous prime is 500414638237. The next prime is 500414638259. The reversal of 500414638257 is 752836414005.

500414638257 is a `hidden beast` number, since 5 + 0 + 0 + 4 + 1 + 4 + 638 + 2 + 5 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 418086387216 + 82328251041 = 646596^2 + 286929^2 .

It is not a de Polignac number, because 500414638257 - 2³⁰ = 499340896433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (500414638259) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 541008 + ... + 1137329.

Almost surely, 2^500414638257 is an apocalyptic number.

It is an amenable number.

500414638257 is a deficient number, since it is larger than the sum of its proper divisors (251698969683).

500414638257 is an equidigital number, since it uses as much as digits as its factorization.

500414638257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678764 (or 1678749 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 500414638257 in words is "five hundred billion, four hundred fourteen million, six hundred thirty-eight thousand, two hundred fifty-seven".