85258053 has 24 divisors (see below), whose sum is σ = 126538776. Its totient is φ = 55296000.

The previous prime is 85258037. The next prime is 85258067. The reversal of 85258053 is 35085258.

85258053 is a `hidden beast` number, since 8 + 525 + 80 + 53 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15000129 + 70257924 = 3873^2 + 8382^2 .

It is not a de Polignac number, because 85258053 - 2⁴ = 85258037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85257999 and 85258017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85258093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52453 + ... + 54053.

It is an arithmetic number, because the mean of its divisors is an integer number (5272449).

Almost surely, 2^85258053 is an apocalyptic number.

It is an amenable number.

85258053 is a deficient number, since it is larger than the sum of its proper divisors (41280723).

85258053 is a wasteful number, since it uses less digits than its factorization.

85258053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 85258053 is about 9233.5287404112. The cubic root of 85258053 is about 440.1274647926.

The spelling of 85258053 in words is "eighty-five million, two hundred fifty-eight thousand, fifty-three".