303723507352225 has 81 divisors (see below), whose sum is σ = 389291834630937. Its totient is φ = 235064345520000.

The previous prime is 303723507352211. The next prime is 303723507352241. The reversal of 303723507352225 is 522253705327303.

The square root of 303723507352225 is 17427665.

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 127842120679441 + 175881386672784 = 11306729^2 + 13262028^2 .

It is not a de Polignac number, because 303723507352225 - 2¹⁵ = 303723507319457 is a prime.

It is a Duffinian 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 80 ways as a sum of consecutive naturals, for example, 539473369794 + ... + 539473370356.

Almost surely, 2^{303723507352225} is an apocalyptic number.

303723507352225 is the 17427665-th square number.

303723507352225 is the 8713833-rd centered octagonal number.

It is an amenable number.

303723507352225 is a deficient number, since it is larger than the sum of its proper divisors (85568327278712).

303723507352225 is an frugal number, since it uses more digits than its factorization.

303723507352225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 49.

The spelling of 303723507352225 in words is "three hundred three trillion, seven hundred twenty-three billion, five hundred seven million, three hundred fifty-two thousand, two hundred twenty-five".