3325936401225 has 297 divisors, whose sum is σ = 6612623778663. Its totient is φ = 1659201317280.

The previous prime is 3325936401169. The next prime is 3325936401239. The reversal of 3325936401225 is 5221046395233.

The square root of 3325936401225 is 1823715.

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

3325936401225 is a `hidden beast` number, since 3 + 3 + 2 + 593 + 6 + 40 + 12 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1197337104441 + 2128599296784 = 1094229^2 + 1458972^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3325936401225 is a prime.

It is a super-2 number, since 2×3325936401225² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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 296 ways as a sum of consecutive naturals, for example, 42100460736 + ... + 42100460814.

Almost surely, 2^{3325936401225} is an apocalyptic number.

3325936401225 is the 1823715-th square number.

3325936401225 is the 911858-th centered octagonal number.

It is an amenable number.

3325936401225 is a deficient number, since it is larger than the sum of its proper divisors (3286687377438).

3325936401225 is an frugal number, since it uses more digits than its factorization.

3325936401225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 3325936401225 in words is "three trillion, three hundred twenty-five billion, nine hundred thirty-six million, four hundred one thousand, two hundred twenty-five".