254775591009 has 27 divisors (see below), whose sum is σ = 369879995667. Its totient is φ = 168991304400.

The previous prime is 254775590969. The next prime is 254775591011. The reversal of 254775591009 is 900195577452.

It is a happy number.

The square root of 254775591009 is 504753.

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

254775591009 is a `hidden beast` number, since 2 + 5 + 4 + 77 + 559 + 10 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101221331409 + 153554259600 = 318153^2 + 391860^2 .

It is a de Polignac number, because none of the positive numbers 2^k-254775591009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (254725591009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 470934279 + ... + 470934819.

Almost surely, 2^254775591009 is an apocalyptic number.

254775591009 is the 504753-rd square number.

254775591009 is the 252377-th centered octagonal number.

It is an amenable number.

254775591009 is a deficient number, since it is larger than the sum of its proper divisors (115104404658).

254775591009 is an frugal number, since it uses more digits than its factorization.

254775591009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 54.

The spelling of 254775591009 in words is "two hundred fifty-four billion, seven hundred seventy-five million, five hundred ninety-one thousand, nine".