10517625 has 24 divisors (see below), whose sum is σ = 18961800. Its totient is φ = 5608800.

The previous prime is 10517609. The next prime is 10517641. The reversal of 10517625 is 52671501.

10517625 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10517609) and next prime (10517641).

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 10517049 = 24^2 + 3243^2 .

It is not a de Polignac number, because 10517625 - 2⁴ = 10517609 is a prime.

It is a super-2 number, since 2×10517625² = 221240871281250, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3550 + ... + 5799.

It is an arithmetic number, because the mean of its divisors is an integer number (790075).

Almost surely, 2^10517625 is an apocalyptic number.

10517625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10517625 is a deficient number, since it is larger than the sum of its proper divisors (8444175).

10517625 is an equidigital number, since it uses as much as digits as its factorization.

10517625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9370 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 10517625 is about 3243.0888054446. The cubic root of 10517625 is about 219.0984107658.

The spelling of 10517625 in words is "ten million, five hundred seventeen thousand, six hundred twenty-five".