93850935201 has 15 divisors (see below), whose sum is σ = 140201194881. Its totient is φ = 62565452028.

The previous prime is 93850935193. The next prime is 93850935229. The reversal of 93850935201 is 10253905839.

The square root of 93850935201 is 306351.

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

93850935201 is a `hidden beast` number, since 9 + 38 + 5 + 0 + 93 + 520 + 1 = 666.

It is not a de Polignac number, because 93850935201 - 2³ = 93850935193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (93850955201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2740140 + ... + 2774178.

Almost surely, 2^93850935201 is an apocalyptic number.

93850935201 is the 306351-st square number.

93850935201 is the 153176-th centered octagonal number.

It is an amenable number.

93850935201 is a deficient number, since it is larger than the sum of its proper divisors (46350259680).

93850935201 is an frugal number, since it uses more digits than its factorization.

93850935201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68090 (or 34042 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

It can be divided in two parts, 938509 and 35201, that added together give a triangular number (973710 = T₁₃₉₅).

The spelling of 93850935201 in words is "ninety-three billion, eight hundred fifty million, nine hundred thirty-five thousand, two hundred one".