512311303113215 has 16 divisors (see below), whose sum is σ = 618032840745600. Its totient is φ = 407678365103520.

The previous prime is 512311303113191. The next prime is 512311303113229.

It is a happy number.

512311303113215 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 512311303113215 - 2¹² = 512311303109119 is a prime.

It is a super-2 number, since 2×512311303113215² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133985765 + ... + 137756334.

It is an arithmetic number, because the mean of its divisors is an integer number (38627052546600).

Almost surely, 2^{512311303113215} is an apocalyptic number.

512311303113215 is a deficient number, since it is larger than the sum of its proper divisors (105721537632385).

512311303113215 is a wasteful number, since it uses less digits than its factorization.

512311303113215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271744102.

The product of its (nonzero) digits is 8100, while the sum is 32.

It can be divided in two parts, 51231130 and 3113215, that added together give a palindrome (54344345).

The spelling of 512311303113215 in words is "five hundred twelve trillion, three hundred eleven billion, three hundred three million, one hundred thirteen thousand, two hundred fifteen".