93095501257201 has 9 divisors (see below), whose sum is σ = 95679965352321. Its totient is φ = 90579059278992.

The previous prime is 93095501257153. The next prime is 93095501257247. The reversal of 93095501257201 is 10275210559039.

The square root of 93095501257201 is 9648601.

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 47370857257201 + 45724644000000 = 6882649^2 + 6762000^2 .

It is a de Polignac number, because none of the positive numbers 2^k-93095501257201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93095501657201) 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, 356867851 + ... + 357128623.

It is an arithmetic number, because the mean of its divisors is an integer number (10631107261369).

Almost surely, 2^{93095501257201} is an apocalyptic number.

93095501257201 is the 9648601-st square number.

93095501257201 is the 4824301-st centered octagonal number.

It is an amenable number.

93095501257201 is a deficient number, since it is larger than the sum of its proper divisors (2584464095120).

93095501257201 is an frugal number, since it uses more digits than its factorization.

93095501257201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521620 (or 260810 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 49.

The spelling of 93095501257201 in words is "ninety-three trillion, ninety-five billion, five hundred one million, two hundred fifty-seven thousand, two hundred one".