557777961 has 64 divisors (see below), whose sum is σ = 916608000. Its totient is φ = 333123840.

The previous prime is 557777959. The next prime is 557777971. The reversal of 557777961 is 169777755.

557777961 is a `hidden beast` number, since 5 + 577 + 7 + 7 + 9 + 61 = 666.

It is not a de Polignac number, because 557777961 - 2¹ = 557777959 is a prime.

It is a super-2 number, since 2×557777961² = 622232507554635042, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 557777898 and 557777907.

It is not an unprimeable number, because it can be changed into a prime (557777971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2333680 + ... + 2333918.

It is an arithmetic number, because the mean of its divisors is an integer number (14322000).

Almost surely, 2^557777961 is an apocalyptic number.

It is an amenable number.

557777961 is a deficient number, since it is larger than the sum of its proper divisors (358830039).

557777961 is a wasteful number, since it uses less digits than its factorization.

557777961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its digits is 3241350, while the sum is 54.

The square root of 557777961 is about 23617.3233242042. The cubic root of 557777961 is about 823.1654176116.

It can be divided in two parts, 5577 and 77961, that added together give a palindrome (83538).

The spelling of 557777961 in words is "five hundred fifty-seven million, seven hundred seventy-seven thousand, nine hundred sixty-one".