12765080031 has 32 divisors (see below), whose sum is σ = 19258200576. Its totient is φ = 7452720000.

The previous prime is 12765080021. The next prime is 12765080047. The reversal of 12765080031 is 13008056721.

It is not a de Polignac number, because 12765080031 - 2⁶ = 12765079967 is a prime.

It is a super-2 number, since 2×12765080031² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 12765079974 and 12765080001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12765080021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71566 + ... + 175076.

It is an arithmetic number, because the mean of its divisors is an integer number (601818768).

Almost surely, 2^12765080031 is an apocalyptic number.

12765080031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12765080031 is a deficient number, since it is larger than the sum of its proper divisors (6493120545).

12765080031 is a wasteful number, since it uses less digits than its factorization.

12765080031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103663.

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 12765080031 in words is "twelve billion, seven hundred sixty-five million, eighty thousand, thirty-one".