1975714171201 has 27 divisors (see below), whose sum is σ = 2160400783203. Its totient is φ = 1806478405200.

The previous prime is 1975714171183. The next prime is 1975714171253. The reversal of 1975714171201 is 1021714175791.

The square root of 1975714171201 is 1405601.

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

It can be written as a sum of positive squares in only one way, i.e., 1036016586801 + 939697584400 = 1017849^2 + 969380^2 .

It is not a de Polignac number, because 1975714171201 - 2⁷ = 1975714171073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1975714174201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 774484876 + ... + 774487426.

Almost surely, 2^{1975714171201} is an apocalyptic number.

1975714171201 is the 1405601-st square number.

1975714171201 is the 702801-st centered octagonal number.

It is an amenable number.

1975714171201 is a deficient number, since it is larger than the sum of its proper divisors (184686612002).

1975714171201 is an frugal number, since it uses more digits than its factorization.

1975714171201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 46.

The spelling of 1975714171201 in words is "one trillion, nine hundred seventy-five billion, seven hundred fourteen million, one hundred seventy-one thousand, two hundred one".