10511264 has 24 divisors (see below), whose sum is σ = 21178080. Its totient is φ = 5132736.

The previous prime is 10511257. The next prime is 10511269. The reversal of 10511264 is 46211501.

10511264 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×10511264² = 220973341755392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10511269) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2444 + ... + 5195.

It is an arithmetic number, because the mean of its divisors is an integer number (882420).

Almost surely, 2^10511264 is an apocalyptic number.

It is an amenable number.

10511264 is an abundant number, since it is smaller than the sum of its proper divisors (10666816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10511264 is an equidigital number, since it uses as much as digits as its factorization.

10511264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7692 (or 7684 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 10511264 is about 3242.1079562532. The cubic root of 10511264 is about 219.0542320325.

Adding to 10511264 its reverse (46211501), we get a palindrome (56722765).

The spelling of 10511264 in words is "ten million, five hundred eleven thousand, two hundred sixty-four".