5127541056001 has 8 divisors (see below), whose sum is σ = 6310819761344. Its totient is φ = 4056955560720.

The previous prime is 5127541055971. The next prime is 5127541056013. The reversal of 5127541056001 is 1006501457215.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5127541056001 - 2⁵ = 5127541055969 is a prime.

It is a super-2 number, since 2×5127541056001² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5127541056101) 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 7 ways as a sum of consecutive naturals, for example, 28173302415 + ... + 28173302596.

It is an arithmetic number, because the mean of its divisors is an integer number (788852470168).

Almost surely, 2^{5127541056001} is an apocalyptic number.

It is an amenable number.

5127541056001 is a deficient number, since it is larger than the sum of its proper divisors (1183278705343).

5127541056001 is a wasteful number, since it uses less digits than its factorization.

5127541056001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56346605031.

The product of its (nonzero) digits is 42000, while the sum is 37.

The spelling of 5127541056001 in words is "five trillion, one hundred twenty-seven billion, five hundred forty-one million, fifty-six thousand, one".