254517257238409 has 27 divisors (see below), whose sum is σ = 295261599719079. Its totient is φ = 219198593916720.

The previous prime is 254517257238367. The next prime is 254517257238451. The reversal of 254517257238409 is 904832752715452.

The square root of 254517257238409 is 15953597.

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

It is an interprime number because it is at equal distance from previous prime (254517257238367) and next prime (254517257238451).

It can be written as a sum of positive squares in only one way, i.e., 56626302252025 + 197890954986384 = 7525045^2 + 14067372^2 .

It is not a de Polignac number, because 254517257238409 - 2⁹ = 254517257237897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (254517257238479) 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, 3334263607 + ... + 3334339939.

Almost surely, 2^{254517257238409} is an apocalyptic number.

254517257238409 is the 15953597-th square number.

254517257238409 is the 7976799-th centered octagonal number.

It is an amenable number.

254517257238409 is a deficient number, since it is larger than the sum of its proper divisors (40744342480670).

254517257238409 is an frugal number, since it uses more digits than its factorization.

254517257238409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152726 (or 76363 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 64.

The spelling of 254517257238409 in words is "two hundred fifty-four trillion, five hundred seventeen billion, two hundred fifty-seven million, two hundred thirty-eight thousand, four hundred nine".