331413219225 has 135 divisors (see below), whose sum is σ = 675354380239. Its totient is φ = 160547032800.

The previous prime is 331413219197. The next prime is 331413219229. The reversal of 331413219225 is 522912314133.

The square root of 331413219225 is 575685.

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

331413219225 is a `hidden beast` number, since 3 + 3 + 1 + 413 + 2 + 19 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 119308758921 + 212104460304 = 345411^2 + 460548^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 331413219225 - 2²¹ = 331411122073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331413219225.

It is not an unprimeable number, because it can be changed into a prime (331413219229) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 284963494 + ... + 284964656.

Almost surely, 2^331413219225 is an apocalyptic number.

331413219225 is the 575685-th square number.

331413219225 is the 287843-rd centered octagonal number.

It is an amenable number.

331413219225 is an abundant number, since it is smaller than the sum of its proper divisors (343941161014).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331413219225 is an equidigital number, since it uses as much as digits as its factorization.

331413219225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 1182 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

Multiplying 331413219225 by its sum of digits (36), we get a square (11930875892100 = 3454110²).

The spelling of 331413219225 in words is "three hundred thirty-one billion, four hundred thirteen million, two hundred nineteen thousand, two hundred twenty-five".