253513682384769 has 27 divisors (see below), whose sum is σ = 366521987933283. Its totient is φ = 168854390495712.

The previous prime is 253513682384747. The next prime is 253513682384771. The reversal of 253513682384769 is 967483286315352.

The square root of 253513682384769 is 15922113.

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

253513682384769 is a `hidden beast` number, since 2 + 5 + 3 + 513 + 6 + 8 + 2 + 3 + 8 + 47 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80719712892225 + 172793969492544 = 8984415^2 + 13145112^2 .

It is not a de Polignac number, because 253513682384769 - 2²¹ = 253513680287617 is a prime.

It is a super-2 number, since 2×253513682384769² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253513682384697 and 253513682384706.

It is not an unprimeable number, because it can be changed into a prime (253513682384719) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79148822122 + ... + 79148825324.

Almost surely, 2^{253513682384769} is an apocalyptic number.

253513682384769 is the 15922113-rd square number.

253513682384769 is the 7961057-th centered octagonal number.

It is an amenable number.

253513682384769 is a deficient number, since it is larger than the sum of its proper divisors (113008305548514).

253513682384769 is an frugal number, since it uses more digits than its factorization.

253513682384769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9726 (or 4863 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 253513682384769 in words is "two hundred fifty-three trillion, five hundred thirteen billion, six hundred eighty-two million, three hundred eighty-four thousand, seven hundred sixty-nine".