2557723257 has 32 divisors (see below), whose sum is σ = 3994824960. Its totient is φ = 1614159360.

The previous prime is 2557723193. The next prime is 2557723279. The reversal of 2557723257 is 7523277552.

2557723257 is a `hidden beast` number, since 2 + 5 + 577 + 23 + 2 + 57 = 666.

2557723257 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2557723257 - 2⁶ = 2557723193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2557723757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39007 + ... + 81467.

It is an arithmetic number, because the mean of its divisors is an integer number (124838280).

Almost surely, 2^2557723257 is an apocalyptic number.

2557723257 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2557723257 is a deficient number, since it is larger than the sum of its proper divisors (1437101703).

2557723257 is a wasteful number, since it uses less digits than its factorization.

2557723257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42590 (or 42584 counting only the distinct ones).

The product of its digits is 1029000, while the sum is 45.

The square root of 2557723257 is about 50573.9385158008. The cubic root of 2557723257 is about 1367.5750979171.

The spelling of 2557723257 in words is "two billion, five hundred fifty-seven million, seven hundred twenty-three thousand, two hundred fifty-seven".