254854338561 has 9 divisors (see below), whose sum is σ = 368125121091. Its totient is φ = 169901882712.

The previous prime is 254854338559. The next prime is 254854338649. The reversal of 254854338561 is 165833458452.

The square root of 254854338561 is 504831.

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

254854338561 is a `hidden beast` number, since 2 + 5 + 4 + 8 + 5 + 43 + 38 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17642480625 + 237211857936 = 132825^2 + 487044^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 254854338561 - 2¹ = 254854338559 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 254854338498 and 254854338507.

It is not an unprimeable number, because it can be changed into a prime (254854338511) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1430355 + ... + 1598631.

Almost surely, 2^254854338561 is an apocalyptic number.

254854338561 is the 504831-st square number.

254854338561 is the 252416-th centered octagonal number.

It is an amenable number.

254854338561 is a deficient number, since it is larger than the sum of its proper divisors (113270782530).

254854338561 is an frugal number, since it uses more digits than its factorization.

254854338561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336560 (or 168280 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 254854338561 in words is "two hundred fifty-four billion, eight hundred fifty-four million, three hundred thirty-eight thousand, five hundred sixty-one".