325185590607409 has 27 divisors (see below), whose sum is σ = 401840279758593. Its totient is φ = 262332862944768.

The previous prime is 325185590607401. The next prime is 325185590607421. The reversal of 325185590607409 is 904706095581523.

The square root of 325185590607409 is 18032903.

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

It can be written as a sum of positive squares in 4 ways, for example, as 57119630409009 + 268065960198400 = 7557753^2 + 16372720^2 .

It is not a de Polignac number, because 325185590607409 - 2³ = 325185590607401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (325185590607401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2145839689 + ... + 2145991225.

It is a 1-persistent number, because it is pandigital, but 2⋅325185590607409 = 650371181214818 is not.

Almost surely, 2^{325185590607409} is an apocalyptic number.

325185590607409 is the 18032903-rd square number.

325185590607409 is the 9016452-nd centered octagonal number.

It is an amenable number.

325185590607409 is a deficient number, since it is larger than the sum of its proper divisors (76654689151184).

325185590607409 is an frugal number, since it uses more digits than its factorization.

325185590607409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303122 (or 151561 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 64.

The spelling of 325185590607409 in words is "three hundred twenty-five trillion, one hundred eighty-five billion, five hundred ninety million, six hundred seven thousand, four hundred nine".