82125790211031 has 96 divisors (see below), whose sum is σ = 135017080215552. Its totient is φ = 44120895436800.

The previous prime is 82125790210987. The next prime is 82125790211131. The reversal of 82125790211031 is 13011209752128.

It is not a de Polignac number, because 82125790211031 - 2⁷ = 82125790210903 is a prime.

It is a super-2 number, since 2×82125790211031² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82125790211131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11442909915 + ... + 11442917091.

It is an arithmetic number, because the mean of its divisors is an integer number (1406427918912).

Almost surely, 2^{82125790211031} is an apocalyptic number.

82125790211031 is a deficient number, since it is larger than the sum of its proper divisors (52891290004521).

82125790211031 is a wasteful number, since it uses less digits than its factorization.

82125790211031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11509 (or 11502 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

Adding to 82125790211031 its reverse (13011209752128), we get a palindrome (95136999963159).

The spelling of 82125790211031 in words is "eighty-two trillion, one hundred twenty-five billion, seven hundred ninety million, two hundred eleven thousand, thirty-one".