631011605536 has 144 divisors (see below), whose sum is σ = 1359164353176. Its totient is φ = 286655238144.

The previous prime is 631011605533. The next prime is 631011605537. The reversal of 631011605536 is 635506110136.

It can be written as a sum of positive squares in 4 ways, for example, as 508021115536 + 122990490000 = 712756^2 + 350700^2 .

It is a super-2 number, since 2×631011605536² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 631011605495 and 631011605504.

It is not an unprimeable number, because it can be changed into a prime (631011605533) 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 23 ways as a sum of consecutive naturals, for example, 1589449690 + ... + 1589450086.

Almost surely, 2^631011605536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631011605536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679582176588).

631011605536 is an abundant number, since it is smaller than the sum of its proper divisors (728152747640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

631011605536 is a wasteful number, since it uses less digits than its factorization.

631011605536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The spelling of 631011605536 in words is "six hundred thirty-one billion, eleven million, six hundred five thousand, five hundred thirty-six".