512146641215 has 32 divisors (see below), whose sum is σ = 688380650496. Its totient is φ = 362566028160.

The previous prime is 512146641199. The next prime is 512146641217.

512146641215 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 512146641215 - 2⁴ = 512146641199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512146641217) 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 31 ways as a sum of consecutive naturals, for example, 323402 + ... + 1062488.

It is an arithmetic number, because the mean of its divisors is an integer number (21511895328).

Almost surely, 2^512146641215 is an apocalyptic number.

512146641215 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

512146641215 is a deficient number, since it is larger than the sum of its proper divisors (176234009281).

512146641215 is a wasteful number, since it uses less digits than its factorization.

512146641215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739439.

The product of its digits is 57600, while the sum is 38.

The spelling of 512146641215 in words is "five hundred twelve billion, one hundred forty-six million, six hundred forty-one thousand, two hundred fifteen".