33042150625 has 45 divisors (see below), whose sum is σ = 45453058959. Its totient is φ = 23994300000.

The previous prime is 33042150599. The next prime is 33042150649. The reversal of 33042150625 is 52605124033.

It is a happy number.

The square root of 33042150625 is 181775.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 15513449809 + 17528700816 = 124553^2 + 132396^2 .

It is not a de Polignac number, because 33042150625 - 2⁵ = 33042150593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49987795 + ... + 49988455.

Almost surely, 2^33042150625 is an apocalyptic number.

33042150625 is the 181775-th square number.

33042150625 is the 90888-th centered octagonal number.

It is an amenable number.

33042150625 is a deficient number, since it is larger than the sum of its proper divisors (12410908334).

33042150625 is an frugal number, since it uses more digits than its factorization.

33042150625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 33042150625 its reverse (52605124033), we get a palindrome (85647274658).

The spelling of 33042150625 in words is "thirty-three billion, forty-two million, one hundred fifty thousand, six hundred twenty-five".