85352145633 has 30 divisors (see below), whose sum is σ = 135018582534. Its totient is φ = 53547485184.

The previous prime is 85352145623. The next prime is 85352145643. The reversal of 85352145633 is 33654125358.

85352145633 is a `hidden beast` number, since 8 + 5 + 3 + 5 + 2 + 1 + 4 + 5 + 633 = 666.

It is an interprime number because it is at equal distance from previous prime (85352145623) and next prime (85352145643).

It can be written as a sum of positive squares in 3 ways, for example, as 410791824 + 84941353809 = 20268^2 + 291447^2 .

It is not a de Polignac number, because 85352145633 - 2¹³ = 85352137441 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85352145623) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10837185 + ... + 10845057.

Almost surely, 2^85352145633 is an apocalyptic number.

It is an amenable number.

85352145633 is a deficient number, since it is larger than the sum of its proper divisors (49666436901).

85352145633 is an frugal number, since it uses more digits than its factorization.

85352145633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15775 (or 7893 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 85352145633 in words is "eighty-five billion, three hundred fifty-two million, one hundred forty-five thousand, six hundred thirty-three".