3168581562601 has 81 divisors (see below), whose sum is σ = 4130691114519. Its totient is φ = 2422293400800.

The previous prime is 3168581562571. The next prime is 3168581562607. The reversal of 3168581562601 is 1062651858613.

It is a happy number.

The square root of 3168581562601 is 1780051.

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., 468725083225 + 2699856479376 = 684635^2 + 1643124^2 .

It is not a de Polignac number, because 3168581562601 - 2²⁵ = 3168548008169 is a prime.

It is a super-3 number, since 3×3168581562601³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3168581562607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5021523556 + ... + 5021524186.

It is an arithmetic number, because the mean of its divisors is an integer number (50996186599).

Almost surely, 2^{3168581562601} is an apocalyptic number.

3168581562601 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3168581562601 is the 1780051-st square number.

3168581562601 is the 890026-th centered octagonal number.

It is an amenable number.

3168581562601 is a deficient number, since it is larger than the sum of its proper divisors (962109551918).

3168581562601 is an frugal number, since it uses more digits than its factorization.

3168581562601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 3168581562601 in words is "three trillion, one hundred sixty-eight billion, five hundred eighty-one million, five hundred sixty-two thousand, six hundred one".