825249933 has 48 divisors (see below), whose sum is σ = 1286625600. Its totient is φ = 508135680.

The previous prime is 825249911. The next prime is 825249941. The reversal of 825249933 is 339942528.

It is a happy number.

825249933 is a `hidden beast` number, since 8 + 2 + 524 + 99 + 33 = 666.

It is not a de Polignac number, because 825249933 - 2⁶ = 825249869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825249983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1583713 + ... + 1584233.

It is an arithmetic number, because the mean of its divisors is an integer number (26804700).

Almost surely, 2^825249933 is an apocalyptic number.

It is an amenable number.

825249933 is a deficient number, since it is larger than the sum of its proper divisors (461375667).

825249933 is a wasteful number, since it uses less digits than its factorization.

825249933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 759 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 825249933 is about 28727.1636783028. The cubic root of 825249933 is about 937.9834289667.

It can be divided in two parts, 8252 and 49933, that added together give a palindrome (58185).

The spelling of 825249933 in words is "eight hundred twenty-five million, two hundred forty-nine thousand, nine hundred thirty-three".