517057753212 has 432 divisors, whose sum is σ = 1833682346496. Its totient is φ = 123967324800.

The previous prime is 517057753169. The next prime is 517057753243. The reversal of 517057753212 is 212357750715.

517057753212 is a `hidden beast` number, since 5 + 1 + 7 + 0 + 577 + 53 + 21 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10678537 + ... + 10726847.

Almost surely, 2^517057753212 is an apocalyptic number.

517057753212 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517057753212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916841173248).

517057753212 is an abundant number, since it is smaller than the sum of its proper divisors (1316624593284).

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

517057753212 is a wasteful number, since it uses less digits than its factorization.

517057753212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48372 (or 48347 counting only the distinct ones).

The product of its (nonzero) digits is 514500, while the sum is 45.

The spelling of 517057753212 in words is "five hundred seventeen billion, fifty-seven million, seven hundred fifty-three thousand, two hundred twelve".