82928824006131 has 40 divisors (see below), whose sum is σ = 123973645305840. Its totient is φ = 55244699246592.

The previous prime is 82928824006111. The next prime is 82928824006139. The reversal of 82928824006131 is 13160042882928.

82928824006131 is a `hidden beast` number, since 8 + 2 + 9 + 28 + 82 + 400 + 6 + 131 = 666.

It is not a de Polignac number, because 82928824006131 - 2¹⁵ = 82928823973363 is a prime.

It is a super-2 number, since 2×82928824006131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82928824006139) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 609985395 + ... + 610121331.

It is an arithmetic number, because the mean of its divisors is an integer number (3099341132646).

Almost surely, 2^{82928824006131} is an apocalyptic number.

82928824006131 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

82928824006131 is a deficient number, since it is larger than the sum of its proper divisors (41044821299709).

82928824006131 is a wasteful number, since it uses less digits than its factorization.

82928824006131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141505 (or 141496 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 82928824006131 in words is "eighty-two trillion, nine hundred twenty-eight billion, eight hundred twenty-four million, six thousand, one hundred thirty-one".