350332265637225 has 45 divisors (see below), whose sum is σ = 648938018655157. Its totient is φ = 186843425794560.

The previous prime is 350332265637071. The next prime is 350332265637257. The reversal of 350332265637225 is 522736562233053.

The square root of 350332265637225 is 18717165.

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

350332265637225 is a `hidden beast` number, since 3 + 5 + 0 + 3 + 3 + 2 + 2 + 6 + 563 + 72 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 622667762649 + 349709597874576 = 789093^2 + 18700524^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 350332265637225 - 2⁹ = 350332265636713 is a prime.

It is a super-2 number, since 2×350332265637225² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 842064457 + ... + 842480393.

Almost surely, 2^{350332265637225} is an apocalyptic number.

350332265637225 is the 18717165-th square number.

350332265637225 is the 9358583-rd centered octagonal number.

It is an amenable number.

350332265637225 is a deficient number, since it is larger than the sum of its proper divisors (298605753017932).

350332265637225 is an frugal number, since it uses more digits than its factorization.

350332265637225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831896 (or 415945 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 54.

The spelling of 350332265637225 in words is "three hundred fifty trillion, three hundred thirty-two billion, two hundred sixty-five million, six hundred thirty-seven thousand, two hundred twenty-five".