557951641 has 27 divisors (see below), whose sum is σ = 639678879. Its totient is φ = 486403632.

The previous prime is 557951627. The next prime is 557951659. The reversal of 557951641 is 146159755.

The square root of 557951641 is 23621.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 82537225 + 475414416 = 9085^2 + 21804^2 .

It is not a de Polignac number, because 557951641 - 2¹¹ = 557949593 is a prime.

It is a super-2 number, since 2×557951641² = 622620067389185762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (557951041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7062640 + ... + 7062718.

Almost surely, 2^557951641 is an apocalyptic number.

557951641 is the 23621-st square number.

557951641 is the 11811-st centered octagonal number.

It is an amenable number.

557951641 is a deficient number, since it is larger than the sum of its proper divisors (81727238).

557951641 is an equidigital number, since it uses as much as digits as its factorization.

557951641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 115 counting only the distinct ones).

The product of its digits is 189000, while the sum is 43.

The cubic root of 557951641 is about 823.2508473843.

The spelling of 557951641 in words is "five hundred fifty-seven million, nine hundred fifty-one thousand, six hundred forty-one".