348553125 has 108 divisors (see below), whose sum is σ = 691901028. Its totient is φ = 174960000.

The previous prime is 348553097. The next prime is 348553171. The reversal of 348553125 is 521355843.

348553125 is a `hidden beast` number, since 3 + 485 + 53 + 125 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 244390689 + 104162436 = 15633^2 + 10206^2 .

It is not a de Polignac number, because 348553125 - 2¹⁰ = 348552101 is a prime.

Its product of digits (72000) is a multiple of the sum of its prime divisors (25).

It is a self number, because there is not a number n which added to its sum of digits gives 348553125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20503117 + ... + 20503133.

It is an arithmetic number, because the mean of its divisors is an integer number (6406491).

Almost surely, 2^348553125 is an apocalyptic number.

It is an amenable number.

348553125 is a deficient number, since it is larger than the sum of its proper divisors (343347903).

348553125 is an frugal number, since it uses more digits than its factorization.

348553125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 25 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 348553125 is about 18669.5775260181. The cubic root of 348553125 is about 703.7574309847.

The spelling of 348553125 in words is "three hundred forty-eight million, five hundred fifty-three thousand, one hundred twenty-five".