55757537607409 has 81 divisors (see below), whose sum is σ = 66129359696001. Its totient is φ = 46967442762240.

The previous prime is 55757537607403. The next prime is 55757537607413. The reversal of 55757537607409 is 90470673575755.

The square root of 55757537607409 is 7467097.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7041046329009 + 48716491278400 = 2653497^2 + 6979720^2 .

It is not a de Polignac number, because 55757537607409 - 2¹⁷ = 55757537476337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55757537607403) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 101933340874 + ... + 101933341420.

Almost surely, 2^{55757537607409} is an apocalyptic number.

55757537607409 is the 7467097-th square number.

55757537607409 is the 3733549-th centered octagonal number.

It is an amenable number.

55757537607409 is a deficient number, since it is larger than the sum of its proper divisors (10371822088592).

55757537607409 is an frugal number, since it uses more digits than its factorization.

55757537607409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 972405000, while the sum is 70.

The spelling of 55757537607409 in words is "fifty-five trillion, seven hundred fifty-seven billion, five hundred thirty-seven million, six hundred seven thousand, four hundred nine".