506512313262561 has 4 divisors (see below), whose sum is σ = 675349751016752. Its totient is φ = 337674875508372.

The previous prime is 506512313262509. The next prime is 506512313262563. The reversal of 506512313262561 is 165262313215605.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 506512313262561 - 2⁶ = 506512313262497 is a prime.

It is a super-2 number, since 2×506512313262561² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 506512313262561.

It is not an unprimeable number, because it can be changed into a prime (506512313262563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84418718877091 + ... + 84418718877096.

It is an arithmetic number, because the mean of its divisors is an integer number (168837437754188).

Almost surely, 2^{506512313262561} is an apocalyptic number.

It is an amenable number.

506512313262561 is a deficient number, since it is larger than the sum of its proper divisors (168837437754191).

506512313262561 is a wasteful number, since it uses less digits than its factorization.

506512313262561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168837437754190.

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 506512313262561 in words is "five hundred six trillion, five hundred twelve billion, three hundred thirteen million, two hundred sixty-two thousand, five hundred sixty-one".