8629935125 has 36 divisors (see below), whose sum is σ = 12539116044. Its totient is φ = 5912684400.

The previous prime is 8629935079. The next prime is 8629935137. The reversal of 8629935125 is 5215399268.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 276157924 + 8353777201 = 16618^2 + 91399^2 .

It is not a de Polignac number, because 8629935125 - 2¹² = 8629931029 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7269782 + ... + 7270968.

It is an arithmetic number, because the mean of its divisors is an integer number (348308779).

Almost surely, 2^8629935125 is an apocalyptic number.

It is an amenable number.

8629935125 is a deficient number, since it is larger than the sum of its proper divisors (3909180919).

8629935125 is an frugal number, since it uses more digits than its factorization.

8629935125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 1199 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 50.

The square root of 8629935125 is about 92897.4441252288. Note that the first 3 decimals coincide. The cubic root of 8629935125 is about 2051.1740350171.

The spelling of 8629935125 in words is "eight billion, six hundred twenty-nine million, nine hundred thirty-five thousand, one hundred twenty-five".