2557171617 has 96 divisors (see below), whose sum is σ = 4753760256. Its totient is φ = 1186099200.

The previous prime is 2557171609. The next prime is 2557171621. The reversal of 2557171617 is 7161717552.

2557171617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2557171617 - 2³ = 2557171609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2557171217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1209153 + ... + 1211265.

It is an arithmetic number, because the mean of its divisors is an integer number (49518336).

Almost surely, 2^2557171617 is an apocalyptic number.

It is an amenable number.

2557171617 is a deficient number, since it is larger than the sum of its proper divisors (2196588639).

2557171617 is a wasteful number, since it uses less digits than its factorization.

2557171617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2178 counting only the distinct ones).

The product of its digits is 102900, while the sum is 42.

The square root of 2557171617 is about 50568.4844245900. The cubic root of 2557171617 is about 1367.4767730537.

The spelling of 2557171617 in words is "two billion, five hundred fifty-seven million, one hundred seventy-one thousand, six hundred seventeen".