10513000 has 32 divisors (see below), whose sum is σ = 24602760. Its totient is φ = 4204800.

The previous prime is 10512991. The next prime is 10513039. The reversal of 10513000 is 31501.

It can be written as a sum of positive squares in 4 ways, for example, as 362404 + 10150596 = 602^2 + 3186^2 .

It is a super-2 number, since 2×10513000² = 221046338000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4257 + ... + 6256.

Almost surely, 2^10513000 is an apocalyptic number.

10513000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10513000 is an abundant number, since it is smaller than the sum of its proper divisors (14089760).

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

10513000 is a wasteful number, since it uses less digits than its factorization.

10513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10534 (or 10520 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 10513000 is about 3242.3756722502. The cubic root of 10513000 is about 219.0662907539.

Adding to 10513000 its reverse (31501), we get a palindrome (10544501).

The spelling of 10513000 in words is "ten million, five hundred thirteen thousand".