10152585 has 12 divisors (see below), whose sum is σ = 17597892. Its totient is φ = 5414688.

The previous prime is 10152563. The next prime is 10152599. The reversal of 10152585 is 58525101.

10152585 is digitally balanced in base 2, 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 2 ways, for example, as 2732409 + 7420176 = 1653^2 + 2724^2 .

It is not a de Polignac number, because 10152585 - 2⁹ = 10152073 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112762 + ... + 112851.

It is an arithmetic number, because the mean of its divisors is an integer number (1466491).

Almost surely, 2^10152585 is an apocalyptic number.

10152585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10152585 is a deficient number, since it is larger than the sum of its proper divisors (7445307).

10152585 is a wasteful number, since it uses less digits than its factorization.

10152585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225624 (or 225621 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 10152585 is about 3186.3121316029. The cubic root of 10152585 is about 216.5337238365.

Adding to 10152585 its reverse (58525101), we get a palindrome (68677686).

It can be divided in two parts, 1015 and 2585, that added together give a square (3600 = 60²).

The spelling of 10152585 in words is "ten million, one hundred fifty-two thousand, five hundred eighty-five".