3129577061 has 16 divisors (see below), whose sum is σ = 3446526720. Its totient is φ = 2824061760.

The previous prime is 3129577049. The next prime is 3129577067. The reversal of 3129577061 is 1607759213.

3129577061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3129577061 - 2¹⁸ = 3129314917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3129577067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127556 + ... + 150098.

It is an arithmetic number, because the mean of its divisors is an integer number (215407920).

Almost surely, 2^3129577061 is an apocalyptic number.

It is an amenable number.

3129577061 is a deficient number, since it is larger than the sum of its proper divisors (316949659).

3129577061 is a wasteful number, since it uses less digits than its factorization.

3129577061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22796.

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 3129577061 is about 55942.6229363622. The cubic root of 3129577061 is about 1462.7223026435.

The spelling of 3129577061 in words is "three billion, one hundred twenty-nine million, five hundred seventy-seven thousand, sixty-one".