33500403225 has 120 divisors (see below), whose sum is σ = 63218453760. Its totient is φ = 17534880000.

The previous prime is 33500403197. The next prime is 33500403247. The reversal of 33500403225 is 52230400533.

33500403225 is a `hidden beast` number, since 3 + 35 + 0 + 0 + 403 + 225 = 666.

It is not a de Polignac number, because 33500403225 - 2⁶ = 33500403161 is a prime.

It is a super-2 number, since 2×33500403225² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27213360 + ... + 27214590.

It is an arithmetic number, because the mean of its divisors is an integer number (526820448).

Almost surely, 2^33500403225 is an apocalyptic number.

It is an amenable number.

33500403225 is a deficient number, since it is larger than the sum of its proper divisors (29718050535).

33500403225 is a wasteful number, since it uses less digits than its factorization.

33500403225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 33500403225 its reverse (52230400533), we get a palindrome (85730803758).

The spelling of 33500403225 in words is "thirty-three billion, five hundred million, four hundred three thousand, two hundred twenty-five".