5959152460801 has 8 divisors (see below), whose sum is σ = 5966078192000. Its totient is φ = 5952227690880.

The previous prime is 5959152460741. The next prime is 5959152460817. The reversal of 5959152460801 is 1080642519595.

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 5959152460801 - 2²⁹ = 5958615589889 is a prime.

It is a super-3 number, since 3×5959152460801³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5959152460601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12560500 + ... + 13026298.

It is an arithmetic number, because the mean of its divisors is an integer number (745759774000).

Almost surely, 2^{5959152460801} is an apocalyptic number.

It is an amenable number.

5959152460801 is a deficient number, since it is larger than the sum of its proper divisors (6925731199).

5959152460801 is a wasteful number, since it uses less digits than its factorization.

5959152460801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480639.

The product of its (nonzero) digits is 3888000, while the sum is 55.

The spelling of 5959152460801 in words is "five trillion, nine hundred fifty-nine billion, one hundred fifty-two million, four hundred sixty thousand, eight hundred one".