21631563503153 has 8 divisors (see below), whose sum is σ = 22159272681000. Its totient is φ = 21103859566720.

The previous prime is 21631563503129. The next prime is 21631563503159. The reversal of 21631563503153 is 35130536513612.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 336873446464 + 21294690056689 = 580408^2 + 4614617^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21631563503153 - 2²⁴ = 21631546725937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21631563503159) 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 7 ways as a sum of consecutive naturals, for example, 7809251 + ... + 10210167.

It is an arithmetic number, because the mean of its divisors is an integer number (2769909085125).

Almost surely, 2^{21631563503153} is an apocalyptic number.

It is an amenable number.

21631563503153 is a deficient number, since it is larger than the sum of its proper divisors (527709177847).

21631563503153 is a wasteful number, since it uses less digits than its factorization.

21631563503153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620707.

The product of its (nonzero) digits is 729000, while the sum is 44.

The spelling of 21631563503153 in words is "twenty-one trillion, six hundred thirty-one billion, five hundred sixty-three million, five hundred three thousand, one hundred fifty-three".