557961312 has 96 divisors (see below), whose sum is σ = 1519257600. Its totient is φ = 179112960.

The previous prime is 557961311. The next prime is 557961317. The reversal of 557961312 is 213169755.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×557961312² = 622641651377522688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557961311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 931189 + ... + 931787.

It is an arithmetic number, because the mean of its divisors is an integer number (15825600).

Almost surely, 2^557961312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557961312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759628800).

557961312 is an abundant number, since it is smaller than the sum of its proper divisors (961296288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

557961312 is a wasteful number, since it uses less digits than its factorization.

557961312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 948 counting only the distinct ones).

The product of its digits is 56700, while the sum is 39.

The square root of 557961312 is about 23621.2047110218. The cubic root of 557961312 is about 823.2556038377.

The spelling of 557961312 in words is "five hundred fifty-seven million, nine hundred sixty-one thousand, three hundred twelve".