57365519121 has 27 divisors (see below), whose sum is σ = 85848302449. Its totient is φ = 36911519232.

The previous prime is 57365519119. The next prime is 57365519173. The reversal of 57365519121 is 12191556375.

The square root of 57365519121 is 239511.

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

57365519121 is a `hidden beast` number, since 5 + 7 + 3 + 6 + 5 + 519 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15273252225 + 42092266896 = 123585^2 + 205164^2 .

It is not a de Polignac number, because 57365519121 - 2¹ = 57365519119 is a prime.

It is a super-2 number, since 2×57365519121² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57365519191) 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, 20836081 + ... + 20838833.

Almost surely, 2^57365519121 is an apocalyptic number.

57365519121 is the 239511-st square number.

57365519121 is the 119756-th centered octagonal number.

It is an amenable number.

57365519121 is a deficient number, since it is larger than the sum of its proper divisors (28482783328).

57365519121 is an frugal number, since it uses more digits than its factorization.

57365519121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5570 (or 2785 counting only the distinct ones).

The product of its digits is 283500, while the sum is 45.

The spelling of 57365519121 in words is "fifty-seven billion, three hundred sixty-five million, five hundred nineteen thousand, one hundred twenty-one".