825187133 has 16 divisors (see below), whose sum is σ = 845627376. Its totient is φ = 805109760.

The previous prime is 825187127. The next prime is 825187151. The reversal of 825187133 is 331781528.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 147209689 + 677977444 = 12133^2 + 26038^2 .

It is a cyclic number.

It is not a de Polignac number, because 825187133 - 2⁸ = 825186877 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825187163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3423893 + ... + 3424133.

It is an arithmetic number, because the mean of its divisors is an integer number (52851711).

Almost surely, 2^825187133 is an apocalyptic number.

It is an amenable number.

825187133 is a deficient number, since it is larger than the sum of its proper divisors (20440243).

825187133 is a wasteful number, since it uses less digits than its factorization.

825187133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704.

The product of its digits is 40320, while the sum is 38.

The square root of 825187133 is about 28726.0706153835. The cubic root of 825187133 is about 937.9596354260.

The spelling of 825187133 in words is "eight hundred twenty-five million, one hundred eighty-seven thousand, one hundred thirty-three".