512080107 has 48 divisors (see below), whose sum is σ = 864546816. Its totient is φ = 263894400.

The previous prime is 512080097. The next prime is 512080141. The reversal of 512080107 is 701080215.

It is not a de Polignac number, because 512080107 - 2⁶ = 512080043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (512080007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347382 + ... + 348852.

It is an arithmetic number, because the mean of its divisors is an integer number (18011392).

Almost surely, 2^512080107 is an apocalyptic number.

512080107 is a deficient number, since it is larger than the sum of its proper divisors (352466709).

512080107 is a wasteful number, since it uses less digits than its factorization.

512080107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 512080107 is about 22629.1870600780. The cubic root of 512080107 is about 800.0417202201.

The spelling of 512080107 in words is "five hundred twelve million, eighty thousand, one hundred seven".