512213303312215 has 32 divisors (see below), whose sum is σ = 635502860697600. Its totient is φ = 395915592908160.

The previous prime is 512213303312201. The next prime is 512213303312237.

512213303312215 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-512213303312215 is a prime.

It is a super-2 number, since 2×512213303312215² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298644721 + ... + 300354949.

It is an arithmetic number, because the mean of its divisors is an integer number (19859464396800).

Almost surely, 2^{512213303312215} is an apocalyptic number.

512213303312215 is a deficient number, since it is larger than the sum of its proper divisors (123289557385385).

512213303312215 is a wasteful number, since it uses less digits than its factorization.

512213303312215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713367.

The product of its (nonzero) digits is 32400, while the sum is 34.

It can be divided in two parts, 51221330 and 3312215, that added together give a palindrome (54533545).

The spelling of 512213303312215 in words is "five hundred twelve trillion, two hundred thirteen billion, three hundred three million, three hundred twelve thousand, two hundred fifteen".