527889374208001 has 16 divisors (see below), whose sum is σ = 593226570222720. Its totient is φ = 466086016408320.

The previous prime is 527889374207953. The next prime is 527889374208013. The reversal of 527889374208001 is 100802473988725.

It is a cyclic number.

It is not a de Polignac number, because 527889374208001 - 2¹¹ = 527889374205953 is a prime.

It is a super-2 number, since 2×527889374208001² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (527889374205001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5897791 + ... + 33023668.

It is an arithmetic number, because the mean of its divisors is an integer number (37076660638920).

Almost surely, 2^{527889374208001} is an apocalyptic number.

It is an amenable number.

527889374208001 is a deficient number, since it is larger than the sum of its proper divisors (65337196014719).

527889374208001 is a wasteful number, since it uses less digits than its factorization.

527889374208001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38966856.

The product of its (nonzero) digits is 54190080, while the sum is 64.

The spelling of 527889374208001 in words is "five hundred twenty-seven trillion, eight hundred eighty-nine billion, three hundred seventy-four million, two hundred eight thousand, one".