251689041 has 6 divisors (see below), whose sum is σ = 363550850. Its totient is φ = 167792688.

The previous prime is 251689033. The next prime is 251689079. The reversal of 251689041 is 140986152.

It can be written as a sum of positive squares in only one way, i.e., 196112016 + 55577025 = 14004^2 + 7455^2 .

It is not a de Polignac number, because 251689041 - 2³ = 251689033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 251688987 and 251689005.

It is not an unprimeable number, because it can be changed into a prime (251689001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13982716 + ... + 13982733.

Almost surely, 2^251689041 is an apocalyptic number.

It is an amenable number.

251689041 is a deficient number, since it is larger than the sum of its proper divisors (111861809).

251689041 is a wasteful number, since it uses less digits than its factorization.

251689041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27965455 (or 27965452 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 251689041 is about 15864.7105551914. The cubic root of 251689041 is about 631.3760474235.

The spelling of 251689041 in words is "two hundred fifty-one million, six hundred eighty-nine thousand, forty-one".