285757600969 has 9 divisors (see below), whose sum is σ = 286677322887. Its totient is φ = 284840825424.

The previous prime is 285757600963. The next prime is 285757600987. The reversal of 285757600969 is 969006757582.

The square root of 285757600969 is 534563.

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., 261158815369 + 24598785600 = 511037^2 + 156840^2 .

It is a de Polignac number, because none of the positive numbers 2^k-285757600969 is a prime.

It is a super-2 number, since 2×285757600969² (a number of 24 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 285757600969.

It is not an unprimeable number, because it can be changed into a prime (285757600963) 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, 218635614 + ... + 218636920.

Almost surely, 2^285757600969 is an apocalyptic number.

285757600969 is the 534563-rd square number.

285757600969 is the 267282-nd centered octagonal number.

It is an amenable number.

285757600969 is a deficient number, since it is larger than the sum of its proper divisors (919721918).

285757600969 is an frugal number, since it uses more digits than its factorization.

285757600969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 64.

Multiplying 285757600969 by its sum of digits (64), we get a square (18288486462016 = 4276504²).

The spelling of 285757600969 in words is "two hundred eighty-five billion, seven hundred fifty-seven million, six hundred thousand, nine hundred sixty-nine".