254945089 has 9 divisors (see below), whose sum is σ = 296698851. Its totient is φ = 218428560.

The previous prime is 254945057. The next prime is 254945101. The reversal of 254945089 is 980549452.

The square root of 254945089 is 15967.

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

It can be written as a sum of positive squares in only one way, i.e., 153338689 + 101606400 = 12383^2 + 10080^2 .

It is not a de Polignac number, because 254945089 - 2⁵ = 254945057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (254945489) 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 8 ways as a sum of consecutive naturals, for example, 110629 + ... + 112909.

It is an arithmetic number, because the mean of its divisors is an integer number (32966539).

Almost surely, 2^254945089 is an apocalyptic number.

254945089 is the 15967-th square number.

254945089 is the 7984-th centered octagonal number.

It is an amenable number.

254945089 is a deficient number, since it is larger than the sum of its proper divisors (41753762).

254945089 is an frugal number, since it uses more digits than its factorization.

254945089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The cubic root of 254945089 is about 634.0870498152.

Multiplying 254945089 by its product of nonzero digits (518400), we get a square (132163534137600 = 11496240²).

The spelling of 254945089 in words is "two hundred fifty-four million, nine hundred forty-five thousand, eighty-nine".