312064125129 has 27 divisors (see below), whose sum is σ = 466911412149. Its totient is φ = 200837579040.

The previous prime is 312064125101. The next prime is 312064125151. The reversal of 312064125129 is 921521460213.

The square root of 312064125129 is 558627.

It is a perfect power (a square), and thus also a powerful number.

312064125129 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 641 + 2 + 5 + 1 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13161366729 + 298902758400 = 114723^2 + 546720^2 .

It is not a de Polignac number, because 312064125129 - 2⁷ = 312064125001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312064125093 and 312064125102.

It is not an unprimeable number, because it can be changed into a prime (312064121129) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48597339 + ... + 48603759.

Almost surely, 2^312064125129 is an apocalyptic number.

312064125129 is the 558627-th square number.

312064125129 is the 279314-th centered octagonal number.

It is an amenable number.

312064125129 is a deficient number, since it is larger than the sum of its proper divisors (154847287020).

312064125129 is an frugal number, since it uses more digits than its factorization.

312064125129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12906 (or 6453 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 312064125129 by its sum of digits (36), we get a square (11234308504644 = 3351762²).

The spelling of 312064125129 in words is "three hundred twelve billion, sixty-four million, one hundred twenty-five thousand, one hundred twenty-nine".