347080048225 has 81 divisors (see below), whose sum is σ = 475482938827. Its totient is φ = 251263720960.

The previous prime is 347080048223. The next prime is 347080048229. The reversal of 347080048225 is 522840080743.

347080048225 = T₄₈₈₆₅ + T₄₈₈₆₆ + ... + T₄₉₁₅₃.

The square root of 347080048225 is 589135.

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

It can be written as a sum of positive squares in 13 ways, for example, as 113079530529 + 234000517696 = 336273^2 + 483736^2 .

It is not a de Polignac number, because 347080048225 - 2¹ = 347080048223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (347080048223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1452217656 + ... + 1452217894.

Almost surely, 2^347080048225 is an apocalyptic number.

347080048225 is the 589135-th square number.

347080048225 is the 294568-th centered octagonal number.

It is an amenable number.

347080048225 is a deficient number, since it is larger than the sum of its proper divisors (128402890602).

347080048225 is an equidigital number, since it uses as much as digits as its factorization.

347080048225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 43.

The spelling of 347080048225 in words is "three hundred forty-seven billion, eighty million, forty-eight thousand, two hundred twenty-five".