257170107441 has 32 divisors (see below), whose sum is σ = 373512384000. Its totient is φ = 156441212928.

The previous prime is 257170107433. The next prime is 257170107457. The reversal of 257170107441 is 144701071752.

It is not a de Polignac number, because 257170107441 - 2³ = 257170107433 is a prime.

It is a super-2 number, since 2×257170107441² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 257170107441.

It is not an unprimeable number, because it can be changed into a prime (257170107641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20260825 + ... + 20273513.

It is an arithmetic number, because the mean of its divisors is an integer number (11672262000).

Almost surely, 2^257170107441 is an apocalyptic number.

It is an amenable number.

257170107441 is a deficient number, since it is larger than the sum of its proper divisors (116342276559).

257170107441 is a wasteful number, since it uses less digits than its factorization.

257170107441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18633.

The product of its (nonzero) digits is 54880, while the sum is 39.

The spelling of 257170107441 in words is "two hundred fifty-seven billion, one hundred seventy million, one hundred seven thousand, four hundred forty-one".