57752260489 has 27 divisors (see below), whose sum is σ = 73867467303. Its totient is φ = 44987342400.

The previous prime is 57752260477. The next prime is 57752260589. The reversal of 57752260489 is 98406225775.

The square root of 57752260489 is 240317.

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., 37002889 + 57715257600 = 6083^2 + 240240^2 .

It is not a de Polignac number, because 57752260489 - 2⁵ = 57752260457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57752260429) 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, 18502849 + ... + 18505969.

Almost surely, 2^57752260489 is an apocalyptic number.

57752260489 is the 240317-th square number.

57752260489 is the 120159-th centered octagonal number.

It is an amenable number.

57752260489 is a deficient number, since it is larger than the sum of its proper divisors (16115206814).

57752260489 is an frugal number, since it uses more digits than its factorization.

57752260489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6278 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 57752260489 in words is "fifty-seven billion, seven hundred fifty-two million, two hundred sixty thousand, four hundred eighty-nine".