93881572801 has 9 divisors (see below), whose sum is σ = 94259653761. Its totient is φ = 93505005972.

The previous prime is 93881572793. The next prime is 93881572817. The reversal of 93881572801 is 10827518839.

It is a happy number.

The square root of 93881572801 is 306401.

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

It is not a de Polignac number, because 93881572801 - 2³ = 93881572793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93881570801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 106320706 + ... + 106321588.

Almost surely, 2^93881572801 is an apocalyptic number.

93881572801 is the 306401-st square number.

93881572801 is the 153201-st centered octagonal number.

It is an amenable number.

93881572801 is a deficient number, since it is larger than the sum of its proper divisors (378080960).

93881572801 is an frugal number, since it uses more digits than its factorization.

93881572801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 52.

The spelling of 93881572801 in words is "ninety-three billion, eight hundred eighty-one million, five hundred seventy-two thousand, eight hundred one".