57553449409 has 9 divisors (see below), whose sum is σ = 58040920227. Its totient is φ = 57070044864.

The previous prime is 57553449403. The next prime is 57553449439. The reversal of 57553449409 is 90494435575.

The square root of 57553449409 is 239903.

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., 27721251009 + 29832198400 = 166497^2 + 172720^2 .

It is not a de Polignac number, because 57553449409 - 2¹⁷ = 57553318337 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57553449409.

It is not an unprimeable number, because it can be changed into a prime (57553449403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30466737 + ... + 30468625.

Almost surely, 2^57553449409 is an apocalyptic number.

57553449409 is the 239903-rd square number.

57553449409 is the 119952-nd centered octagonal number.

It is an amenable number.

57553449409 is a deficient number, since it is larger than the sum of its proper divisors (487470818).

57553449409 is an frugal number, since it uses more digits than its factorization.

57553449409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 55.

The spelling of 57553449409 in words is "fifty-seven billion, five hundred fifty-three million, four hundred forty-nine thousand, four hundred nine".