557145542051721 has 36 divisors (see below), whose sum is σ = 991224121646772. Its totient is φ = 299641299922944.

The previous prime is 557145542051617. The next prime is 557145542051783. The reversal of 557145542051721 is 127150245541755.

557145542051721 is a `hidden beast` number, since 5 + 5 + 7 + 1 + 45 + 5 + 420 + 5 + 172 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 464758746693696 + 92386795358025 = 21558264^2 + 9611805^2 .

It is not a de Polignac number, because 557145542051721 - 2²⁵ = 557145508497289 is a prime.

It is a super-2 number, since 2×557145542051721² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (557145542051221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37157891800 + ... + 37157906793.

It is an arithmetic number, because the mean of its divisors is an integer number (27534003379077).

Almost surely, 2^{557145542051721} is an apocalyptic number.

557145542051721 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

557145542051721 is a deficient number, since it is larger than the sum of its proper divisors (434078579595051).

557145542051721 is a wasteful number, since it uses less digits than its factorization.

557145542051721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74315798630 (or 74315798620 counting only the distinct ones).

The product of its (nonzero) digits is 9800000, while the sum is 54.

The spelling of 557145542051721 in words is "five hundred fifty-seven trillion, one hundred forty-five billion, five hundred forty-two million, fifty-one thousand, seven hundred twenty-one".