57621170721321 has 63 divisors (see below), whose sum is σ = 91184671193031. Its totient is φ = 36389858911344.

The previous prime is 57621170721287. The next prime is 57621170721343. The reversal of 57621170721321 is 12312707112675.

The square root of 57621170721321 is 7590861.

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

57621170721321 is a `hidden beast` number, since 5 + 7 + 621 + 1 + 7 + 0 + 7 + 2 + 13 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21151214912025 + 36469955809296 = 4599045^2 + 6039036^2 .

It is not a de Polignac number, because 57621170721321 - 2²¹ = 57621168624169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57621170722321) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3894104295 + ... + 3894119091.

Almost surely, 2^{57621170721321} is an apocalyptic number.

57621170721321 is the 7590861-st square number.

57621170721321 is the 3795431-st centered octagonal number.

It is an amenable number.

57621170721321 is a deficient number, since it is larger than the sum of its proper divisors (33563500471710).

57621170721321 is an frugal number, since it uses more digits than its factorization.

57621170721321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29650 (or 14819 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

Adding to 57621170721321 its reverse (12312707112675), we get a palindrome (69933877833996).

The spelling of 57621170721321 in words is "fifty-seven trillion, six hundred twenty-one billion, one hundred seventy million, seven hundred twenty-one thousand, three hundred twenty-one".