33738381825625 has 135 divisors (see below), whose sum is σ = 45623119632321. Its totient is φ = 24936480192000.

The previous prime is 33738381825611. The next prime is 33738381825667. The reversal of 33738381825625 is 52652818383733.

The square root of 33738381825625 is 5808475.

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

It can be written as a sum of positive squares in 22 ways, for example, as 26216724531529 + 7521657294096 = 5120227^2 + 2742564^2 .

It is not a de Polignac number, because 33738381825625 - 2⁵ = 33738381825593 is a prime.

It is a super-2 number, since 2×33738381825625² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 195019548039 + ... + 195019548211.

Almost surely, 2^{33738381825625} is an apocalyptic number.

33738381825625 is the 5808475-th square number.

33738381825625 is the 2904238-th centered octagonal number.

It is an amenable number.

33738381825625 is a deficient number, since it is larger than the sum of its proper divisors (11884737806696).

33738381825625 is an frugal number, since it uses more digits than its factorization.

33738381825625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 274 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 64.

The spelling of 33738381825625 in words is "thirty-three trillion, seven hundred thirty-eight billion, three hundred eighty-one million, eight hundred twenty-five thousand, six hundred twenty-five".