10585251 has 12 divisors (see below), whose sum is σ = 15393040. Its totient is φ = 7009200.

The previous prime is 10585247. The next prime is 10585259. The reversal of 10585251 is 15258501.

It is not a de Polignac number, because 10585251 - 2² = 10585247 is a prime.

It is a super-2 number, since 2×10585251² = 224095077466002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10585259) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2536 + ... + 5253.

Almost surely, 2^10585251 is an apocalyptic number.

10585251 is a deficient number, since it is larger than the sum of its proper divisors (4807789).

10585251 is a wasteful number, since it uses less digits than its factorization.

10585251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7946 (or 7943 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 10585251 is about 3253.4982710922. The cubic root of 10585251 is about 219.5669926601.

The spelling of 10585251 in words is "ten million, five hundred eighty-five thousand, two hundred fifty-one".