512361242163215 has 32 divisors (see below), whose sum is σ = 668080747376640. Its totient is φ = 375783719212800.

The previous prime is 512361242163181. The next prime is 512361242163217.

It is a happy number.

512361242163215 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 512361242163215 - 2²² = 512361237968911 is a prime.

It is a super-4 number, since 4×512361242163215⁴ (a number of 60 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512361242163217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192550907 + ... + 195193683.

It is an arithmetic number, because the mean of its divisors is an integer number (20877523355520).

Almost surely, 2^{512361242163215} is an apocalyptic number.

512361242163215 is a deficient number, since it is larger than the sum of its proper divisors (155719505213425).

512361242163215 is a wasteful number, since it uses less digits than its factorization.

512361242163215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708663.

The product of its digits is 518400, while the sum is 44.

The spelling of 512361242163215 in words is "five hundred twelve trillion, three hundred sixty-one billion, two hundred forty-two million, one hundred sixty-three thousand, two hundred fifteen".