93317435409025 has 27 divisors (see below), whose sum is σ = 115880301078633. Its totient is φ = 74546566711200.

The previous prime is 93317435409007. The next prime is 93317435409071. The reversal of 93317435409025 is 52090453471339.

The square root of 93317435409025 is 9660095.

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 3241847063169 + 90075588345856 = 1800513^2 + 9490816^2 .

It is a de Polignac number, because none of the positive numbers 2^k-93317435409025 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, 66702955276 + ... + 66702956674.

Almost surely, 2^{93317435409025} is an apocalyptic number.

93317435409025 is the 9660095-th square number.

93317435409025 is the 4830048-th centered octagonal number.

It is an amenable number.

93317435409025 is a deficient number, since it is larger than the sum of its proper divisors (22562865669608).

93317435409025 is an frugal number, since it uses more digits than its factorization.

93317435409025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5570 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 55.

The spelling of 93317435409025 in words is "ninety-three trillion, three hundred seventeen billion, four hundred thirty-five million, four hundred nine thousand, twenty-five".