254969391353121 has 27 divisors (see below), whose sum is σ = 371006534275923. Its totient is φ = 168734524039200.

The previous prime is 254969391353113. The next prime is 254969391353123. The reversal of 254969391353121 is 121353193969452.

It is a happy number.

The square root of 254969391353121 is 15967761.

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

254969391353121 is a `hidden beast` number, since 2 + 5 + 4 + 9 + 6 + 9 + 3 + 91 + 3 + 531 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 149770234944225 + 105199156408896 = 12238065^2 + 10256664^2 .

It is not a de Polignac number, because 254969391353121 - 2³ = 254969391353113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (254969391353123) 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, 6562730346 + ... + 6562769196.

Almost surely, 2^{254969391353121} is an apocalyptic number.

254969391353121 is the 15967761-st square number.

254969391353121 is the 7983881-st centered octagonal number.

It is an amenable number.

254969391353121 is a deficient number, since it is larger than the sum of its proper divisors (116037142922802).

254969391353121 is an frugal number, since it uses more digits than its factorization.

254969391353121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77982 (or 38991 counting only the distinct ones).

The product of its digits is 47239200, while the sum is 63.

The spelling of 254969391353121 in words is "two hundred fifty-four trillion, nine hundred sixty-nine billion, three hundred ninety-one million, three hundred fifty-three thousand, one hundred twenty-one".