313638129 has 64 divisors (see below), whose sum is σ = 552960000. Its totient is φ = 171927360.

The previous prime is 313638119. The next prime is 313638133. The reversal of 313638129 is 921836313.

313638129 is a `hidden beast` number, since 3 + 1 + 3 + 638 + 12 + 9 = 666.

It is not a de Polignac number, because 313638129 - 2⁴ = 313638113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313638093 and 313638102.

It is not an unprimeable number, because it can be changed into a prime (313638109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1165807 + ... + 1166075.

It is an arithmetic number, because the mean of its divisors is an integer number (8640000).

Almost surely, 2^313638129 is an apocalyptic number.

It is an amenable number.

313638129 is a deficient number, since it is larger than the sum of its proper divisors (239321871).

313638129 is a wasteful number, since it uses less digits than its factorization.

313638129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 509 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 313638129 is about 17709.8314221226. The cubic root of 313638129 is about 679.4272346780.

The spelling of 313638129 in words is "three hundred thirteen million, six hundred thirty-eight thousand, one hundred twenty-nine".