14275165506001 has 27 divisors (see below), whose sum is σ = 14836083223707. Its totient is φ = 13734993024720.

The previous prime is 14275165505921. The next prime is 14275165506013. The reversal of 14275165506001 is 10060556157241.

It is a happy number.

The square root of 14275165506001 is 3778249.

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., 9566803650625 + 4708361855376 = 3093025^2 + 2169876^2 .

It is not a de Polignac number, because 14275165506001 - 2¹⁷ = 14275165374929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14275165506031) 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, 35957595535 + ... + 35957595931.

It is an arithmetic number, because the mean of its divisors is an integer number (549484563841).

Almost surely, 2^{14275165506001} is an apocalyptic number.

14275165506001 is the 3778249-th square number.

14275165506001 is the 1889125-th centered octagonal number.

It is an amenable number.

14275165506001 is a deficient number, since it is larger than the sum of its proper divisors (560917717706).

14275165506001 is an frugal number, since it uses more digits than its factorization.

14275165506001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 43.

The spelling of 14275165506001 in words is "fourteen trillion, two hundred seventy-five billion, one hundred sixty-five million, five hundred six thousand, one".