254111253 has 48 divisors (see below), whose sum is σ = 390700800. Its totient is φ = 146608000.

The previous prime is 254111239. The next prime is 254111293. The reversal of 254111253 is 352111452.

It is a happy number.

It is not a de Polignac number, because 254111253 - 2¹⁰ = 254110229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254111233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1063108 + ... + 1063346.

It is an arithmetic number, because the mean of its divisors is an integer number (8139600).

Almost surely, 2^254111253 is an apocalyptic number.

It is an amenable number.

254111253 is a deficient number, since it is larger than the sum of its proper divisors (136589547).

254111253 is a wasteful number, since it uses less digits than its factorization.

254111253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 383 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 254111253 is about 15940.8673854342. The cubic root of 254111253 is about 633.3950026437.

It can be divided in two parts, 25 and 4111253, that added together give a triangular number (4111278 = T₂₈₆₇).

The spelling of 254111253 in words is "two hundred fifty-four million, one hundred eleven thousand, two hundred fifty-three".