10086525 has 60 divisors (see below), whose sum is σ = 19850292. Its totient is φ = 5045760.

The previous prime is 10086499. The next prime is 10086539. The reversal of 10086525 is 52568001.

10086525 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 652 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 777924 + 9308601 = 882^2 + 3051^2 .

It is not a de Polignac number, because 10086525 - 2¹⁷ = 9955453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34279 + ... + 34571.

Almost surely, 2^10086525 is an apocalyptic number.

10086525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10086525 is a deficient number, since it is larger than the sum of its proper divisors (9763767).

10086525 is a wasteful number, since it uses less digits than its factorization.

10086525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

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

The square root of 10086525 is about 3175.9289979469. The cubic root of 10086525 is about 216.0630602917.

The spelling of 10086525 in words is "ten million, eighty-six thousand, five hundred twenty-five".