75577157569 has 9 divisors (see below), whose sum is σ = 75873293769. Its totient is φ = 75282175920.

The previous prime is 75577157561. The next prime is 75577157573. The reversal of 75577157569 is 96575177557.

The square root of 75577157569 is 274913.

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 53409521025 + 22167636544 = 231105^2 + 148888^2 .

It is not a de Polignac number, because 75577157569 - 2³ = 75577157561 is a prime.

It is a super-2 number, since 2×75577157569² (a number of 23 digits) contains 22 as substring.

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 75577157569.

It is not an unprimeable number, because it can be changed into a prime (75577157561) 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, 115738047 + ... + 115738699.

Almost surely, 2^75577157569 is an apocalyptic number.

75577157569 is the 274913-rd square number.

75577157569 is the 137457-th centered octagonal number.

It is an amenable number.

75577157569 is a deficient number, since it is larger than the sum of its proper divisors (296136200).

75577157569 is an frugal number, since it uses more digits than its factorization.

75577157569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 1074 counting only the distinct ones).

The product of its digits is 81033750, while the sum is 64.

Multiplying 75577157569 by its sum of digits (64), we get a square (4836938084416 = 2199304²).

The spelling of 75577157569 in words is "seventy-five billion, five hundred seventy-seven million, one hundred fifty-seven thousand, five hundred sixty-nine".