10506825 has 54 divisors (see below), whose sum is σ = 21914334. Its totient is φ = 4798080.

The previous prime is 10506767. The next prime is 10506841. The reversal of 10506825 is 52860501.

It can be written as a sum of positive squares in 3 ways, for example, as 451584 + 10055241 = 672^2 + 3171^2 .

It is not a de Polignac number, because 10506825 - 2⁸ = 10506569 is a prime.

It is a super-2 number, since 2×10506825² = 220786743161250, which contains 22 as substring.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10549 + ... + 11501.

It is an arithmetic number, because the mean of its divisors is an integer number (405821).

Almost surely, 2^10506825 is an apocalyptic number.

10506825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10506825 is an abundant number, since it is smaller than the sum of its proper divisors (11407509).

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

10506825 is a wasteful number, since it uses less digits than its factorization.

10506825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 10506825 is about 3241.4232984910. The cubic root of 10506825 is about 219.0233915091.

It can be divided in two parts, 1050 and 6825, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 10506825 in words is "ten million, five hundred six thousand, eight hundred twenty-five".