254952801 has 12 divisors (see below), whose sum is σ = 377247780. Its totient is φ = 165822720.

The previous prime is 254952787. The next prime is 254952809. The reversal of 254952801 is 108259452.

It can be written as a sum of positive squares in 2 ways, for example, as 7834401 + 247118400 = 2799^2 + 15720^2 .

It is not a de Polignac number, because 254952801 - 2¹³ = 254944609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (254952809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345096 + ... + 345833.

It is an arithmetic number, because the mean of its divisors is an integer number (31437315).

Almost surely, 2^254952801 is an apocalyptic number.

It is an amenable number.

254952801 is a deficient number, since it is larger than the sum of its proper divisors (122294979).

254952801 is a wasteful number, since it uses less digits than its factorization.

254952801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690976 (or 690973 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 254952801 is about 15967.2414962635. The cubic root of 254952801 is about 634.0934433881.

The spelling of 254952801 in words is "two hundred fifty-four million, nine hundred fifty-two thousand, eight hundred one".