557558000253 has 12 divisors (see below), whose sum is σ = 806675367420. Its totient is φ = 371098958976.

The previous prime is 557558000221. The next prime is 557558000261. The reversal of 557558000253 is 352000855755.

557558000253 is a `hidden beast` number, since 5 + 575 + 58 + 0 + 0 + 0 + 25 + 3 = 666.

557558000253 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 can be written as a sum of positive squares in 2 ways, for example, as 507736089 + 557050264164 = 22533^2 + 746358^2 .

It is not a de Polignac number, because 557558000253 - 2⁵ = 557558000221 is a prime.

It is a super-2 number, since 2×557558000253² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 557558000199 and 557558000208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557558000453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50525388 + ... + 50536421.

It is an arithmetic number, because the mean of its divisors is an integer number (67222947285).

Almost surely, 2^557558000253 is an apocalyptic number.

It is an amenable number.

557558000253 is a deficient number, since it is larger than the sum of its proper divisors (249117367167).

557558000253 is a wasteful number, since it uses less digits than its factorization.

557558000253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101062428 (or 101062425 counting only the distinct ones).

The product of its (nonzero) digits is 1050000, while the sum is 45.

The spelling of 557558000253 in words is "five hundred fifty-seven billion, five hundred fifty-eight million, two hundred fifty-three", and thus it is an aban number.