826105122057 has 32 divisors (see below), whose sum is σ = 1135577031040. Its totient is φ = 533801249280.

The previous prime is 826105122043. The next prime is 826105122071. The reversal of 826105122057 is 750221501628.

It is an interprime number because it is at equal distance from previous prime (826105122043) and next prime (826105122071).

It is not a de Polignac number, because 826105122057 - 2⁸ = 826105121801 is a prime.

It is a super-2 number, since 2×826105122057² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (826105122257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62148582 + ... + 62161872.

It is an arithmetic number, because the mean of its divisors is an integer number (35486782220).

Almost surely, 2^826105122057 is an apocalyptic number.

It is an amenable number.

826105122057 is a deficient number, since it is larger than the sum of its proper divisors (309471908983).

826105122057 is a wasteful number, since it uses less digits than its factorization.

826105122057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15433.

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 826105122057 in words is "eight hundred twenty-six billion, one hundred five million, one hundred twenty-two thousand, fifty-seven".