2557385894305 has 32 divisors (see below), whose sum is σ = 3524417049600. Its totient is φ = 1761844766400.

The previous prime is 2557385894257. The next prime is 2557385894387. The reversal of 2557385894305 is 5034985837552.

It is not a de Polignac number, because 2557385894305 - 2³³ = 2548795959713 is a prime.

It is a super-2 number, since 2×2557385894305² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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, 10423836 + ... + 10666354.

It is an arithmetic number, because the mean of its divisors is an integer number (110138032800).

Almost surely, 2^{2557385894305} is an apocalyptic number.

It is an amenable number.

2557385894305 is a deficient number, since it is larger than the sum of its proper divisors (967031155295).

2557385894305 is a wasteful number, since it uses less digits than its factorization.

2557385894305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252645.

The product of its (nonzero) digits is 181440000, while the sum is 64.

The spelling of 2557385894305 in words is "two trillion, five hundred fifty-seven billion, three hundred eighty-five million, eight hundred ninety-four thousand, three hundred five".