3135005013 has 16 divisors (see below), whose sum is σ = 4784600576. Its totient is φ = 1788637680.

The previous prime is 3135005011. The next prime is 3135005021. The reversal of 3135005013 is 3105005313.

It is a happy number.

It is not a de Polignac number, because 3135005013 - 2¹ = 3135005011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135005011) 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 15 ways as a sum of consecutive naturals, for example, 102583 + ... + 129588.

It is an arithmetic number, because the mean of its divisors is an integer number (299037536).

Almost surely, 2^3135005013 is an apocalyptic number.

It is an amenable number.

3135005013 is a deficient number, since it is larger than the sum of its proper divisors (1649595563).

3135005013 is a wasteful number, since it uses less digits than its factorization.

3135005013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232824.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 3135005013 is about 55991.1154827264. The cubic root of 3135005013 is about 1463.5674648448.

The spelling of 3135005013 in words is "three billion, one hundred thirty-five million, five thousand, thirteen".