254967951 has 16 divisors (see below), whose sum is σ = 392297984. Its totient is φ = 144280224.

The previous prime is 254967943. The next prime is 254967959. The reversal of 254967951 is 159769452.

It is an interprime number because it is at equal distance from previous prime (254967943) and next prime (254967959).

It is not a de Polignac number, because 254967951 - 2³ = 254967943 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 254967951.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254967959) 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 15 ways as a sum of consecutive naturals, for example, 56776 + ... + 61101.

It is an arithmetic number, because the mean of its divisors is an integer number (24518624).

Almost surely, 2^254967951 is an apocalyptic number.

254967951 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

254967951 is a deficient number, since it is larger than the sum of its proper divisors (137330033).

254967951 is a wasteful number, since it uses less digits than its factorization.

254967951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117990.

The product of its digits is 680400, while the sum is 48.

The square root of 254967951 is about 15967.7158980237. The cubic root of 254967951 is about 634.1060030009.

It can be divided in two parts, 2549 and 67951, that added together give a triangular number (70500 = T₃₇₅).

The spelling of 254967951 in words is "two hundred fifty-four million, nine hundred sixty-seven thousand, nine hundred fifty-one".