3631086502681 has 27 divisors (see below), whose sum is σ = 4015089995007. Its totient is φ = 3281341602000.

The previous prime is 3631086502633. The next prime is 3631086502709. The reversal of 3631086502681 is 1862056801363.

The square root of 3631086502681 is 1905541.

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., 991436412681 + 2639650090000 = 995709^2 + 1624700^2 .

It is not a de Polignac number, because 3631086502681 - 2¹¹ = 3631086500633 is a prime.

It is a super-3 number, since 3×3631086502681³ (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 (3631086502601) 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, 4422760251 + ... + 4422761071.

Almost surely, 2^{3631086502681} is an apocalyptic number.

3631086502681 is the 1905541-st square number.

3631086502681 is the 952771-st centered octagonal number.

It is an amenable number.

3631086502681 is a deficient number, since it is larger than the sum of its proper divisors (384003492326).

3631086502681 is an frugal number, since it uses more digits than its factorization.

3631086502681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 3631086502681 by its sum of digits (49), we get a square (177923238631369 = 13338787²).

The spelling of 3631086502681 in words is "three trillion, six hundred thirty-one billion, eighty-six million, five hundred two thousand, six hundred eighty-one".