33685096225 has 81 divisors (see below), whose sum is σ = 47579589043. Its totient is φ = 23639308000.

The previous prime is 33685096187. The next prime is 33685096229. The reversal of 33685096225 is 52269058633.

It is a happy number.

The square root of 33685096225 is 183535.

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

It can be written as a sum of positive squares in only one way, i.e., 12126634641 + 21558461584 = 110121^2 + 146828^2 .

It is not a de Polignac number, because 33685096225 - 2⁹ = 33685095713 is a prime.

It is a super-2 number, since 2×33685096225² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33685096229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 474437940 + ... + 474438010.

Almost surely, 2^33685096225 is an apocalyptic number.

33685096225 is the 183535-th square number.

33685096225 is the 91768-th centered octagonal number.

It is an amenable number.

33685096225 is a deficient number, since it is larger than the sum of its proper divisors (13894492818).

33685096225 is an equidigital number, since it uses as much as digits as its factorization.

33685096225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 49.

Multiplying 33685096225 by its sum of digits (49), we get a square (1650569715025 = 1284745²).

The spelling of 33685096225 in words is "thirty-three billion, six hundred eighty-five million, ninety-six thousand, two hundred twenty-five".