254526561 has 24 divisors (see below), whose sum is σ = 373899240. Its totient is φ = 166822656.

The previous prime is 254526529. The next prime is 254526577. The reversal of 254526561 is 165625452.

254526561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 83832336 + 170694225 = 9156^2 + 13065^2 .

It is not a de Polignac number, because 254526561 - 2⁵ = 254526529 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (254576561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156991 + ... + 158603.

It is an arithmetic number, because the mean of its divisors is an integer number (15579135).

Almost surely, 2^254526561 is an apocalyptic number.

It is an amenable number.

254526561 is a deficient number, since it is larger than the sum of its proper divisors (119372679).

254526561 is a wasteful number, since it uses less digits than its factorization.

254526561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1902 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 254526561 is about 15953.8885855455. Note that the first 3 decimals coincide. The cubic root of 254526561 is about 633.7398789276.

The spelling of 254526561 in words is "two hundred fifty-four million, five hundred twenty-six thousand, five hundred sixty-one".