93305200681 has 27 divisors (see below), whose sum is σ = 119332953117. Its totient is φ = 72687023640.

The previous prime is 93305200657. The next prime is 93305200693. The reversal of 93305200681 is 18600250339.

The square root of 93305200681 is 305459.

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

It is not a de Polignac number, because 93305200681 - 2²⁵ = 93271646249 is a prime.

It is a super-2 number, since 2×93305200681² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 93305200681.

It is not an unprimeable number, because it can be changed into a prime (93305200601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 23518360 + ... + 23522326.

Almost surely, 2^93305200681 is an apocalyptic number.

93305200681 is the 305459-th square number.

93305200681 is the 152730-th centered octagonal number.

It is an amenable number.

93305200681 is a deficient number, since it is larger than the sum of its proper divisors (26027752436).

93305200681 is an frugal number, since it uses more digits than its factorization.

93305200681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7970 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 93305200681 in words is "ninety-three billion, three hundred five million, two hundred thousand, six hundred eighty-one".