85052529 has 12 divisors (see below), whose sum is σ = 126174516. Its totient is φ = 55168992.

The previous prime is 85052497. The next prime is 85052543. The reversal of 85052529 is 92525058.

85052529 is a `hidden beast` number, since 85 + 0 + 52 + 529 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63680400 + 21372129 = 7980^2 + 4623^2 .

It is not a de Polignac number, because 85052529 - 2⁵ = 85052497 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 85052493 and 85052502.

It is not an unprimeable number, because it can be changed into a prime (85052629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127374 + ... + 128039.

It is an arithmetic number, because the mean of its divisors is an integer number (10514543).

Almost surely, 2^85052529 is an apocalyptic number.

It is an amenable number.

85052529 is a deficient number, since it is larger than the sum of its proper divisors (41121987).

85052529 is a wasteful number, since it uses less digits than its factorization.

85052529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255456 (or 255453 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 85052529 is about 9222.3928023046. The cubic root of 85052529 is about 439.7735215315.

The spelling of 85052529 in words is "eighty-five million, fifty-two thousand, five hundred twenty-nine".