3325082957361 has 135 divisors (see below), whose sum is σ = 5542449139227. Its totient is φ = 1985114355840.

The previous prime is 3325082957341. The next prime is 3325082957381. The reversal of 3325082957361 is 1637592805233.

The square root of 3325082957361 is 1823481.

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

3325082957361 is a `hidden beast` number, since 3 + 3 + 2 + 5 + 0 + 8 + 2 + 9 + 573 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (3325082957341) and next prime (3325082957381).

It can be written as a sum of positive squares in only one way, i.e., 58590623025 + 3266492334336 = 242055^2 + 1807344^2 .

It is not a de Polignac number, because 3325082957361 - 2⁷ = 3325082957233 is a prime.

It is a super-2 number, since 2×3325082957361² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3325082957298 and 3325082957307.

It is not an unprimeable number, because it can be changed into a prime (3325082957341) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 20399281866 + ... + 20399282028.

Almost surely, 2^{3325082957361} is an apocalyptic number.

3325082957361 is the 1823481-st square number.

3325082957361 is the 911741-st centered octagonal number.

It is an amenable number.

3325082957361 is a deficient number, since it is larger than the sum of its proper divisors (2217366181866).

3325082957361 is an equidigital number, since it uses as much as digits as its factorization.

3325082957361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 3325082957361 in words is "three trillion, three hundred twenty-five billion, eighty-two million, nine hundred fifty-seven thousand, three hundred sixty-one".