11507013 has 36 divisors (see below), whose sum is σ = 19606860. Its totient is φ = 6483456.

The previous prime is 11507003. The next prime is 11507029. The reversal of 11507013 is 31070511.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2614689 + 8892324 = 1617^2 + 2982^2 .

It is not a de Polignac number, because 11507013 - 2¹² = 11502917 is a prime.

It is a super-2 number, since 2×11507013² = 264822696364338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11507003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42643 + ... + 42911.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 2^11507013 is an apocalyptic number.

It is an amenable number.

11507013 is a deficient number, since it is larger than the sum of its proper divisors (8099847).

11507013 is a wasteful number, since it uses less digits than its factorization.

11507013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 11507013 is about 3392.1988444076. The cubic root of 11507013 is about 225.7637453322.

Adding to 11507013 its reverse (31070511), we get a palindrome (42577524).

The spelling of 11507013 in words is "eleven million, five hundred seven thousand, thirteen".