512617626561 has 8 divisors (see below), whose sum is σ = 723695472864. Its totient is φ = 321642432320.

The previous prime is 512617626511. The next prime is 512617626617. The reversal of 512617626561 is 165626716215.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 512617626561 - 2⁶ = 512617626497 is a prime.

It is a super-2 number, since 2×512617626561² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 512617626561.

It is not an unprimeable number, because it can be changed into a prime (512617626511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5025662955 + ... + 5025663056.

It is an arithmetic number, because the mean of its divisors is an integer number (90461934108).

Almost surely, 2^512617626561 is an apocalyptic number.

512617626561 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

512617626561 is a deficient number, since it is larger than the sum of its proper divisors (211077846303).

512617626561 is a wasteful number, since it uses less digits than its factorization.

512617626561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10051326031.

The product of its digits is 907200, while the sum is 48.

The spelling of 512617626561 in words is "five hundred twelve billion, six hundred seventeen million, six hundred twenty-six thousand, five hundred sixty-one".