10613825 has 12 divisors (see below), whose sum is σ = 13204140. Its totient is φ = 8463360.

The previous prime is 10613821. The next prime is 10613851. The reversal of 10613825 is 52831601.

It can be written as a sum of positive squares in 6 ways, for example, as 703921 + 9909904 = 839^2 + 3148^2 .

It is not a de Polignac number, because 10613825 - 2² = 10613821 is a prime.

It is a super-2 number, since 2×10613825² = 225306562261250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10613794 and 10613803.

It is not an unprimeable number, because it can be changed into a prime (10613821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10961 + ... + 11889.

It is an arithmetic number, because the mean of its divisors is an integer number (1100345).

Almost surely, 2^10613825 is an apocalyptic number.

It is an amenable number.

10613825 is a deficient number, since it is larger than the sum of its proper divisors (2590315).

10613825 is an equidigital number, since it uses as much as digits as its factorization.

10613825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 10613825 is about 3257.8865848890. The cubic root of 10613825 is about 219.7643827331.

It can be divided in two parts, 106 and 13825, that added together give a palindrome (13931).

The spelling of 10613825 in words is "ten million, six hundred thirteen thousand, eight hundred twenty-five".