5958485882001 has 27 divisors (see below), whose sum is σ = 8846004501243. Its totient is φ = 3864788063280.

The previous prime is 5958485881987. The next prime is 5958485882039. The reversal of 5958485882001 is 1002885848595.

The square root of 5958485882001 is 2441001.

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

5958485882001 is a `hidden beast` number, since 5 + 9 + 5 + 8 + 48 + 588 + 2 + 0 + 0 + 1 = 666.

5958485882001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5331734993025 + 626750888976 = 2309055^2 + 791676^2 .

It is not a de Polignac number, because 5958485882001 - 2²¹ = 5958483784849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5958485882001.

It is not an unprimeable number, because it can be changed into a prime (5958485882051) 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, 270940116 + ... + 270962106.

Almost surely, 2^{5958485882001} is an apocalyptic number.

5958485882001 is the 2441001-st square number.

5958485882001 is the 1220501-st centered octagonal number.

It is an amenable number.

5958485882001 is a deficient number, since it is larger than the sum of its proper divisors (2887518619242).

5958485882001 is an frugal number, since it uses more digits than its factorization.

5958485882001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44062 (or 22031 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 63.

It can be divided in two parts, 5958485 and 882001, that added together give a palindrome (6840486).

The spelling of 5958485882001 in words is "five trillion, nine hundred fifty-eight billion, four hundred eighty-five million, eight hundred eighty-two thousand, one".