251200961 has 16 divisors (see below), whose sum is σ = 279916800. Its totient is φ = 225379440.

The previous prime is 251200949. The next prime is 251200981. The reversal of 251200961 is 169002152.

251200961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 251200961 - 2⁶ = 251200897 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 251200961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251200981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103955 + ... + 106343.

It is an arithmetic number, because the mean of its divisors is an integer number (17494800).

Almost surely, 2^251200961 is an apocalyptic number.

It is an amenable number.

251200961 is a deficient number, since it is larger than the sum of its proper divisors (28715839).

251200961 is an equidigital number, since it uses as much as digits as its factorization.

251200961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 251200961 is about 15849.3205217132. The cubic root of 251200961 is about 630.9676579909.

The spelling of 251200961 in words is "two hundred fifty-one million, two hundred thousand, nine hundred sixty-one".