82581842131 has 16 divisors (see below), whose sum is σ = 83370609504. Its totient is φ = 81798010624.

The previous prime is 82581842113. The next prime is 82581842143. The reversal of 82581842131 is 13124818528.

It is a cyclic number.

It is not a de Polignac number, because 82581842131 - 2²¹ = 82579744979 is a prime.

It is a super-2 number, since 2×82581842131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82581842831) 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, 50446245 + ... + 50447881.

It is an arithmetic number, because the mean of its divisors is an integer number (5210663094).

Almost surely, 2^82581842131 is an apocalyptic number.

82581842131 is a deficient number, since it is larger than the sum of its proper divisors (788767373).

82581842131 is a wasteful number, since it uses less digits than its factorization.

82581842131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870.

The product of its digits is 122880, while the sum is 43.

The spelling of 82581842131 in words is "eighty-two billion, five hundred eighty-one million, eight hundred forty-two thousand, one hundred thirty-one".