125125516629 has 24 divisors (see below), whose sum is σ = 187681347672. Its totient is φ = 80267604480.

The previous prime is 125125516591. The next prime is 125125516631. The reversal of 125125516629 is 926615521521.

125125516629 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 2 + 5 + 5 + 16 + 629 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 603729 + 125124912900 = 777^2 + 353730^2 .

It is a de Polignac number, because none of the positive numbers 2^k-125125516629 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125125516699) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2295622 + ... + 2349495.

It is an arithmetic number, because the mean of its divisors is an integer number (7820056153).

Almost surely, 2^125125516629 is an apocalyptic number.

It is an amenable number.

125125516629 is a deficient number, since it is larger than the sum of its proper divisors (62555831043).

125125516629 is a wasteful number, since it uses less digits than its factorization.

125125516629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4645237 (or 4645234 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The spelling of 125125516629 in words is "one hundred twenty-five billion, one hundred twenty-five million, five hundred sixteen thousand, six hundred twenty-nine".