2631633417361 has 45 divisors (see below), whose sum is σ = 2961573601623. Its totient is φ = 2338348652640.

The previous prime is 2631633417349. The next prime is 2631633417377. The reversal of 2631633417361 is 1637143361362.

The square root of 2631633417361 is 1622231.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2629486021761 + 2147395600 = 1621569^2 + 46340^2 .

It is not a de Polignac number, because 2631633417361 - 2⁷ = 2631633417233 is a prime.

It is a super-3 number, since 3×2631633417361³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2631633417341) 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 44 ways as a sum of consecutive naturals, for example, 7950553966 + ... + 7950554296.

Almost surely, 2^{2631633417361} is an apocalyptic number.

2631633417361 is the 1622231-st square number.

2631633417361 is the 811116-th centered octagonal number.

It is an amenable number.

2631633417361 is a deficient number, since it is larger than the sum of its proper divisors (329940184262).

2631633417361 is an frugal number, since it uses more digits than its factorization.

2631633417361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 373 counting only the distinct ones).

The product of its digits is 979776, while the sum is 46.

The spelling of 2631633417361 in words is "two trillion, six hundred thirty-one billion, six hundred thirty-three million, four hundred seventeen thousand, three hundred sixty-one".