93253805553601 has 81 divisors (see below), whose sum is σ = 120770984736129. Its totient is φ = 71742305989200.

The previous prime is 93253805553577. The next prime is 93253805553661. The reversal of 93253805553601 is 10635550835239.

It is a happy number.

The square root of 93253805553601 is 9656801.

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

It is not a de Polignac number, because 93253805553601 - 2⁵ = 93253805553569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (93253805553661) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 61716614436 + ... + 61716615946.

Almost surely, 2^{93253805553601} is an apocalyptic number.

93253805553601 is the 9656801-st square number.

93253805553601 is the 4828401-st centered octagonal number.

It is an amenable number.

93253805553601 is a deficient number, since it is larger than the sum of its proper divisors (27517179182528).

93253805553601 is an frugal number, since it uses more digits than its factorization.

93253805553601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 55.

The spelling of 93253805553601 in words is "ninety-three trillion, two hundred fifty-three billion, eight hundred five million, five hundred fifty-three thousand, six hundred one".