10513251 has 24 divisors (see below), whose sum is σ = 18270720. Its totient is φ = 5690736.

The previous prime is 10513219. The next prime is 10513267. The reversal of 10513251 is 15231501.

It is not a de Polignac number, because 10513251 - 2⁵ = 10513219 is a prime.

It is a super-2 number, since 2×10513251² = 221056893178002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10513201) 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 23 ways as a sum of consecutive naturals, for example, 3195 + ... + 5588.

It is an arithmetic number, because the mean of its divisors is an integer number (761280).

Almost surely, 2^10513251 is an apocalyptic number.

10513251 is a deficient number, since it is larger than the sum of its proper divisors (7757469).

10513251 is a wasteful number, since it uses less digits than its factorization.

10513251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8815 (or 8812 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 10513251 is about 3242.4143782065. The cubic root of 10513251 is about 219.0680341574.

Adding to 10513251 its reverse (15231501), we get a palindrome (25744752).

The spelling of 10513251 in words is "ten million, five hundred thirteen thousand, two hundred fifty-one".