45757060281 has 27 divisors (see below), whose sum is σ = 66789452847. Its totient is φ = 30186838080.

The previous prime is 45757060273. The next prime is 45757060303. The reversal of 45757060281 is 18206075754.

The square root of 45757060281 is 213909.

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

45757060281 is a `hidden beast` number, since 4 + 57 + 570 + 6 + 0 + 28 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 806276025 + 44950784256 = 28395^2 + 212016^2 .

It is not a de Polignac number, because 45757060281 - 2³ = 45757060273 is a prime.

It is a super-2 number, since 2×45757060281² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45757060781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72514836 + ... + 72515466.

Almost surely, 2^45757060281 is an apocalyptic number.

45757060281 is the 213909-th square number.

45757060281 is the 106955-th centered octagonal number.

It is an amenable number.

45757060281 is a deficient number, since it is larger than the sum of its proper divisors (21032392566).

45757060281 is an frugal number, since it uses more digits than its factorization.

45757060281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 45757060281 in words is "forty-five billion, seven hundred fifty-seven million, sixty thousand, two hundred eighty-one".