57436436281 has 45 divisors (see below), whose sum is σ = 68964740271. Its totient is φ = 47832101856.

The previous prime is 57436436227. The next prime is 57436436293. The reversal of 57436436281 is 18263463475.

The square root of 57436436281 is 239659.

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., 32603719225 + 24832717056 = 180565^2 + 157584^2 .

It is not a de Polignac number, because 57436436281 - 2⁹ = 57436435769 is a prime.

It is a super-2 number, since 2×57436436281² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (57436436201) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 786800461 + ... + 786800533.

Almost surely, 2^57436436281 is an apocalyptic number.

57436436281 is the 239659-th square number.

57436436281 is the 119830-th centered octagonal number.

It is an amenable number.

57436436281 is a deficient number, since it is larger than the sum of its proper divisors (11528303990).

57436436281 is an frugal number, since it uses more digits than its factorization.

57436436281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 147 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 49.

Multiplying 57436436281 by its sum of digits (49), we get a square (2814385377769 = 1677613²).

57436436281 divided by its sum of digits (49) gives a square (1172172169 = 34237²).

The spelling of 57436436281 in words is "fifty-seven billion, four hundred thirty-six million, four hundred thirty-six thousand, two hundred eighty-one".