82963138125 has 80 divisors (see below), whose sum is σ = 158101891200. Its totient is φ = 37895424000.

The previous prime is 82963138061. The next prime is 82963138127. The reversal of 82963138125 is 52183136928.

It is not a de Polignac number, because 82963138125 - 2⁶ = 82963138061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82963138127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27941641 + ... + 27944609.

It is an arithmetic number, because the mean of its divisors is an integer number (1976273640).

Almost surely, 2^82963138125 is an apocalyptic number.

It is an amenable number.

82963138125 is a deficient number, since it is larger than the sum of its proper divisors (75138753075).

82963138125 is a wasteful number, since it uses less digits than its factorization.

82963138125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5113 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The spelling of 82963138125 in words is "eighty-two billion, nine hundred sixty-three million, one hundred thirty-eight thousand, one hundred twenty-five".