10513204 has 24 divisors (see below), whose sum is σ = 19940648. Its totient is φ = 4821120.

The previous prime is 10513201. The next prime is 10513211. The reversal of 10513204 is 40231501.

It can be written as a sum of positive squares in 4 ways, for example, as 1822500 + 8690704 = 1350^2 + 2948^2 .

It is a super-2 number, since 2×10513204² = 221054916691232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8854 + ... + 9970.

Almost surely, 2^10513204 is an apocalyptic number.

It is an amenable number.

10513204 is a deficient number, since it is larger than the sum of its proper divisors (9427444).

10513204 is a wasteful number, since it uses less digits than its factorization.

10513204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10513204 is about 3242.4071305128. The cubic root of 10513204 is about 219.0677077054.

Adding to 10513204 its reverse (40231501), we get a palindrome (50744705).

The spelling of 10513204 in words is "ten million, five hundred thirteen thousand, two hundred four".