85100553 has 12 divisors (see below), whose sum is σ = 124607860. Its totient is φ = 55956096.

The previous prime is 85100539. The next prime is 85100573. The reversal of 85100553 is 35500158.

85100553 is a `hidden beast` number, since 8 + 5 + 100 + 553 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60419529 + 24681024 = 7773^2 + 4968^2 .

It is not a de Polignac number, because 85100553 - 2⁴ = 85100537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85100573) 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, 64108 + ... + 65421.

Almost surely, 2^85100553 is an apocalyptic number.

It is an amenable number.

85100553 is a deficient number, since it is larger than the sum of its proper divisors (39507307).

85100553 is a wasteful number, since it uses less digits than its factorization.

85100553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129608 (or 129605 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 85100553 is about 9224.9960975602. The cubic root of 85100553 is about 439.8562770948.

The spelling of 85100553 in words is "eighty-five million, one hundred thousand, five hundred fifty-three".