254937137569 has 9 divisors (see below), whose sum is σ = 256024783417. Its totient is φ = 253854099184.

The previous prime is 254937137537. The next prime is 254937137573. The reversal of 254937137569 is 965731739452.

The square root of 254937137569 is 504913.

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 38421880225 + 216515257344 = 196015^2 + 465312^2 .

It is not a de Polignac number, because 254937137569 - 2⁵ = 254937137537 is a prime.

It is a super-2 number, since 2×254937137569² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (254937137509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 135820659 + ... + 135822535.

Almost surely, 2^254937137569 is an apocalyptic number.

254937137569 is the 504913-rd square number.

254937137569 is the 252457-th centered octagonal number.

It is an amenable number.

254937137569 is a deficient number, since it is larger than the sum of its proper divisors (1087645848).

254937137569 is an frugal number, since it uses more digits than its factorization.

254937137569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 2146 counting only the distinct ones).

The product of its digits is 42865200, while the sum is 61.

The spelling of 254937137569 in words is "two hundred fifty-four billion, nine hundred thirty-seven million, one hundred thirty-seven thousand, five hundred sixty-nine".