10513125 has 80 divisors (see below), whose sum is σ = 22492800. Its totient is φ = 4752000.

The previous prime is 10513121. The next prime is 10513127. The reversal of 10513125 is 52131501.

It is not a de Polignac number, because 10513125 - 2² = 10513121 is a prime.

It is a super-2 number, since 2×10513125² = 221051594531250, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 10513098 and 10513107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 118081 + ... + 118169.

It is an arithmetic number, because the mean of its divisors is an integer number (281160).

Almost surely, 2^10513125 is an apocalyptic number.

10513125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10513125 is an abundant number, since it is smaller than the sum of its proper divisors (11979675).

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

10513125 is an frugal number, since it uses more digits than its factorization.

10513125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 10513125 is about 3242.3949481826. The cubic root of 10513125 is about 219.0671589862.

Adding to 10513125 its reverse (52131501), we get a palindrome (62644626).

The spelling of 10513125 in words is "ten million, five hundred thirteen thousand, one hundred twenty-five".