254297309841 has 63 divisors (see below), whose sum is σ = 402804397209. Its totient is φ = 160445440872.

The previous prime is 254297309813. The next prime is 254297309891. The reversal of 254297309841 is 148903792452.

The square root of 254297309841 is 504279.

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

254297309841 is a `hidden beast` number, since 2 + 5 + 4 + 297 + 309 + 8 + 41 = 666.

It is not a de Polignac number, because 254297309841 - 2⁵ = 254297309809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (254297309801) 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 62 ways as a sum of consecutive naturals, for example, 258694636 + ... + 258695618.

Almost surely, 2^254297309841 is an apocalyptic number.

254297309841 is the 504279-th square number.

254297309841 is the 252140-th centered octagonal number.

It is an amenable number.

254297309841 is a deficient number, since it is larger than the sum of its proper divisors (148507087368).

254297309841 is an frugal number, since it uses more digits than its factorization.

254297309841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 254297309841 in words is "two hundred fifty-four billion, two hundred ninety-seven million, three hundred nine thousand, eight hundred forty-one".