10513400 has 24 divisors (see below), whose sum is σ = 24444120. Its totient is φ = 4205280.

The previous prime is 10513379. The next prime is 10513409. The reversal of 10513400 is 431501.

10513400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10513400² = 221063159120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26084 + ... + 26483.

It is an arithmetic number, because the mean of its divisors is an integer number (1018505).

Almost surely, 2^10513400 is an apocalyptic number.

10513400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10513400 is an abundant number, since it is smaller than the sum of its proper divisors (13930720).

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

10513400 is a wasteful number, since it uses less digits than its factorization.

10513400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52583 (or 52574 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 10513400 is about 3242.4373548305. The cubic root of 10513400 is about 219.0690690730.

Adding to 10513400 its reverse (431501), we get a palindrome (10944901).

The spelling of 10513400 in words is "ten million, five hundred thirteen thousand, four hundred".