251078641 has 16 divisors (see below), whose sum is σ = 283470336. Its totient is φ = 220320000.

The previous prime is 251078567. The next prime is 251078651. The reversal of 251078641 is 146870152.

It is a cyclic number.

It is not a de Polignac number, because 251078641 - 2¹⁷ = 250947569 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 251078597 and 251078606.

It is not an unprimeable number, because it can be changed into a prime (251078651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183801 + ... + 185161.

It is an arithmetic number, because the mean of its divisors is an integer number (17716896).

Almost surely, 2^251078641 is an apocalyptic number.

It is an amenable number.

251078641 is a deficient number, since it is larger than the sum of its proper divisors (32391695).

251078641 is a wasteful number, since it uses less digits than its factorization.

251078641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944.

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 251078641 is about 15845.4612113375. The cubic root of 251078641 is about 630.8652267285.

The spelling of 251078641 in words is "two hundred fifty-one million, seventy-eight thousand, six hundred forty-one".