33125252202304 has 112 divisors (see below), whose sum is σ = 67450012405776. Its totient is φ = 16131361996800.

The previous prime is 33125252202299. The next prime is 33125252202307. The reversal of 33125252202304 is 40320225252133.

It can be written as a sum of positive squares in 8 ways, for example, as 3907421958400 + 29217830243904 = 1976720^2 + 5405352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 33125252202304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33125252202307) 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, 6519433044 + ... + 6519438124.

It is an arithmetic number, because the mean of its divisors is an integer number (602232253623).

Almost surely, 2^{33125252202304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33125252202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33725006202888).

33125252202304 is an abundant number, since it is smaller than the sum of its proper divisors (34324760203472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33125252202304 is a wasteful number, since it uses less digits than its factorization.

33125252202304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8844 (or 8834 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 33125252202304 its reverse (40320225252133), we get a palindrome (73445477454437).

The spelling of 33125252202304 in words is "thirty-three trillion, one hundred twenty-five billion, two hundred fifty-two million, two hundred two thousand, three hundred four".