353329192225 has 27 divisors (see below), whose sum is σ = 462475141977. Its totient is φ = 267743537280.

The previous prime is 353329192217. The next prime is 353329192231. The reversal of 353329192225 is 522291923353.

The square root of 353329192225 is 594415.

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 94121944849 + 259207247376 = 306793^2 + 509124^2 .

It is not a de Polignac number, because 353329192225 - 2³ = 353329192217 is a prime.

It is a super-4 number, since 4×353329192225⁴ (a number of 47 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56466297 + ... + 56472553.

Almost surely, 2^353329192225 is an apocalyptic number.

353329192225 is the 594415-th square number.

353329192225 is the 297208-th centered octagonal number.

It is an amenable number.

353329192225 is a deficient number, since it is larger than the sum of its proper divisors (109145949752).

353329192225 is an frugal number, since it uses more digits than its factorization.

353329192225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12562 (or 6281 counting only the distinct ones).

The product of its digits is 874800, while the sum is 46.

The spelling of 353329192225 in words is "three hundred fifty-three billion, three hundred twenty-nine million, one hundred ninety-two thousand, two hundred twenty-five".