93305264086225 has 27 divisors (see below), whose sum is σ = 119827503180307. Its totient is φ = 72069191089280.

The previous prime is 93305264086193. The next prime is 93305264086231. The reversal of 93305264086225 is 52268046250339.

It is a happy number.

The square root of 93305264086225 is 9659465.

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 92355309767889 + 949954318336 = 9610167^2 + 974656^2 .

It is not a de Polignac number, because 93305264086225 - 2⁵ = 93305264086193 is a prime.

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, 1400589117 + ... + 1400655733.

Almost surely, 2^{93305264086225} is an apocalyptic number.

93305264086225 is the 9659465-th square number.

93305264086225 is the 4829733-rd centered octagonal number.

It is an amenable number.

93305264086225 is a deficient number, since it is larger than the sum of its proper divisors (26522239094082).

93305264086225 is an frugal number, since it uses more digits than its factorization.

93305264086225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133302 (or 66651 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 55.

The spelling of 93305264086225 in words is "ninety-three trillion, three hundred five billion, two hundred sixty-four million, eighty-six thousand, two hundred twenty-five".