82514757969 has 32 divisors (see below), whose sum is σ = 140129710080. Its totient is φ = 47008803600.

The previous prime is 82514757931. The next prime is 82514757971. The reversal of 82514757969 is 96975741528.

82514757969 is a `hidden beast` number, since 8 + 2 + 51 + 4 + 7 + 579 + 6 + 9 = 666.

It is not a de Polignac number, because 82514757969 - 2¹⁶ = 82514692433 is a prime.

It is a super-2 number, since 2×82514757969² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (82514755969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596937 + ... + 722054.

It is an arithmetic number, because the mean of its divisors is an integer number (4379053440).

Almost surely, 2^82514757969 is an apocalyptic number.

It is an amenable number.

82514757969 is a deficient number, since it is larger than the sum of its proper divisors (57614952111).

82514757969 is a wasteful number, since it uses less digits than its factorization.

82514757969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319338 (or 1319332 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 63.

The spelling of 82514757969 in words is "eighty-two billion, five hundred fourteen million, seven hundred fifty-seven thousand, nine hundred sixty-nine".