353409125 has 16 divisors (see below), whose sum is σ = 441815088. Its totient is φ = 282240000.

The previous prime is 353409113. The next prime is 353409137. The reversal of 353409125 is 521904353.

It is an interprime number because it is at equal distance from previous prime (353409113) and next prime (353409137).

It can be written as a sum of positive squares in 8 ways, for example, as 239197156 + 114211969 = 15466^2 + 10687^2 .

It is not a de Polignac number, because 353409125 - 2¹² = 353405029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 353409091 and 353409100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82025 + ... + 86225.

It is an arithmetic number, because the mean of its divisors is an integer number (27613443).

Almost surely, 2^353409125 is an apocalyptic number.

It is an amenable number.

353409125 is a deficient number, since it is larger than the sum of its proper divisors (88405963).

353409125 is an equidigital number, since it uses as much as digits as its factorization.

353409125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 353409125 is about 18799.1788384493. The cubic root of 353409125 is about 707.0105910399.

The spelling of 353409125 in words is "three hundred fifty-three million, four hundred nine thousand, one hundred twenty-five".