82769388125 has 20 divisors (see below), whose sum is σ = 104590817100. Its totient is φ = 65471472000.

The previous prime is 82769388089. The next prime is 82769388133. The reversal of 82769388125 is 52188396728.

It can be written as a sum of positive squares in 10 ways, for example, as 82637276089 + 132112036 = 287467^2 + 11494^2 .

It is not a de Polignac number, because 82769388125 - 2¹⁸ = 82769125981 is a prime.

It is a super-2 number, since 2×82769388125² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 688370 + ... + 799619.

It is an arithmetic number, because the mean of its divisors is an integer number (5229540855).

Almost surely, 2^82769388125 is an apocalyptic number.

It is an amenable number.

82769388125 is a deficient number, since it is larger than the sum of its proper divisors (21821428975).

82769388125 is an equidigital number, since it uses as much as digits as its factorization.

82769388125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488098 (or 1488083 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 59.

The spelling of 82769388125 in words is "eighty-two billion, seven hundred sixty-nine million, three hundred eighty-eight thousand, one hundred twenty-five".