557117011521 has 48 divisors (see below), whose sum is σ = 993657600000. Its totient is φ = 299625927552.

The previous prime is 557117011501. The next prime is 557117011571. The reversal of 557117011521 is 125110711755.

557117011521 is a `hidden beast` number, since 5 + 5 + 7 + 117 + 0 + 11 + 521 = 666.

It is not a de Polignac number, because 557117011521 - 2⁷ = 557117011393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (557117011501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5255521 + ... + 5360478.

It is an arithmetic number, because the mean of its divisors is an integer number (20701200000).

Almost surely, 2^557117011521 is an apocalyptic number.

557117011521 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

557117011521 is a deficient number, since it is larger than the sum of its proper divisors (436540588479).

557117011521 is a wasteful number, since it uses less digits than its factorization.

557117011521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10616043 (or 10616026 counting only the distinct ones).

The product of its (nonzero) digits is 12250, while the sum is 36.

The spelling of 557117011521 in words is "five hundred fifty-seven billion, one hundred seventeen million, eleven thousand, five hundred twenty-one".