875817094201 has 45 divisors (see below), whose sum is σ = 1040185810703. Its totient is φ = 737375719920.

The previous prime is 875817094171. The next prime is 875817094237. The reversal of 875817094201 is 102490718578.

The square root of 875817094201 is 935851.

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

875817094201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 57624482601 + 818192611600 = 240051^2 + 904540^2 .

It is not a de Polignac number, because 875817094201 - 2⁵ = 875817094169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (875817092201) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3255825495 + ... + 3255825763.

Almost surely, 2^875817094201 is an apocalyptic number.

875817094201 is the 935851-st square number.

875817094201 is the 467926-th centered octagonal number.

It is an amenable number.

875817094201 is a deficient number, since it is larger than the sum of its proper divisors (164368716502).

875817094201 is an frugal number, since it uses more digits than its factorization.

875817094201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 52.

The spelling of 875817094201 in words is "eight hundred seventy-five billion, eight hundred seventeen million, ninety-four thousand, two hundred one".