251064993 has 24 divisors (see below), whose sum is σ = 374343520. Its totient is φ = 149230080.

The previous prime is 251064973. The next prime is 251065019. The reversal of 251064993 is 399460152.

It is not a de Polignac number, because 251064993 - 2¹⁶ = 250999457 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (251064973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8853 + ... + 24093.

Almost surely, 2^251064993 is an apocalyptic number.

It is an amenable number.

251064993 is a deficient number, since it is larger than the sum of its proper divisors (123278527).

251064993 is a wasteful number, since it uses less digits than its factorization.

251064993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15297 (or 15280 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 251064993 is about 15845.0305458841. The cubic root of 251064993 is about 630.8537957752.

The spelling of 251064993 in words is "two hundred fifty-one million, sixty-four thousand, nine hundred ninety-three".