10527625 has 8 divisors (see below), whose sum is σ = 13138632. Its totient is φ = 8422000.

The previous prime is 10527617. The next prime is 10527679. The reversal of 10527625 is 52672501.

10527625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 210681 + 10316944 = 459^2 + 3212^2 .

It is not a de Polignac number, because 10527625 - 2³ = 10527617 is a prime.

It is a super-2 number, since 2×10527625² = 221661776281250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10527593 and 10527602.

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, 41986 + ... + 42235.

It is an arithmetic number, because the mean of its divisors is an integer number (1642329).

Almost surely, 2^10527625 is an apocalyptic number.

It is an amenable number.

10527625 is a deficient number, since it is larger than the sum of its proper divisors (2611007).

10527625 is an frugal number, since it uses more digits than its factorization.

10527625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84236 (or 84226 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 10527625 is about 3244.6301792346. The cubic root of 10527625 is about 219.1678272639.

It can be divided in two parts, 105 and 27625, that added together give a triangular number (27730 = T₂₃₅).

The spelling of 10527625 in words is "ten million, five hundred twenty-seven thousand, six hundred twenty-five".