10634013 has 24 divisors (see below), whose sum is σ = 16730168. Its totient is φ = 6469632.

The previous prime is 10634011. The next prime is 10634087. The reversal of 10634013 is 31043601.

It can be written as a sum of positive squares in 4 ways, for example, as 116964 + 10517049 = 342^2 + 3243^2 .

It is not a de Polignac number, because 10634013 - 2¹ = 10634011 is a prime.

It is a super-2 number, since 2×10634013² = 226164464968338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10634011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10881 + ... + 11817.

Almost surely, 2^10634013 is an apocalyptic number.

10634013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10634013 is a deficient number, since it is larger than the sum of its proper divisors (6096155).

10634013 is a wasteful number, since it uses less digits than its factorization.

10634013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 10634013 is about 3260.9834406203. The cubic root of 10634013 is about 219.9036285894.

Adding to 10634013 its reverse (31043601), we get a palindrome (41677614).

The spelling of 10634013 in words is "ten million, six hundred thirty-four thousand, thirteen".