57052507062721 has 27 divisors (see below), whose sum is σ = 59457247045833. Its totient is φ = 54742772538720.

The previous prime is 57052507062619. The next prime is 57052507062763. The reversal of 57052507062721 is 12726070525075.

The square root of 57052507062721 is 7553311.

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

It can be written as a sum of positive squares in 4 ways, for example, as 21217437725121 + 35835069337600 = 4606239^2 + 5986240^2 .

It is not a de Polignac number, because 57052507062721 - 2²³ = 57052498674113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57052507062121) 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, 39647328720 + ... + 39647330158.

Almost surely, 2^{57052507062721} is an apocalyptic number.

57052507062721 is the 7553311-st square number.

57052507062721 is the 3776656-th centered octagonal number.

It is an amenable number.

57052507062721 is a deficient number, since it is larger than the sum of its proper divisors (2404739983112).

57052507062721 is an frugal number, since it uses more digits than its factorization.

57052507062721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 2058000, while the sum is 49.

Adding to 57052507062721 its reverse (12726070525075), we get a palindrome (69778577587796).

The spelling of 57052507062721 in words is "fifty-seven trillion, fifty-two billion, five hundred seven million, sixty-two thousand, seven hundred twenty-one".