2163535006241 has 32 divisors (see below), whose sum is σ = 2680356780288. Its totient is φ = 1703883847680.

The previous prime is 2163535006189. The next prime is 2163535006267. The reversal of 2163535006241 is 1426005353612.

It is not a de Polignac number, because 2163535006241 - 2²⁶ = 2163467897377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2163535006195 and 2163535006204.

It is not an unprimeable number, because it can be changed into a prime (2163535006271) 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 31 ways as a sum of consecutive naturals, for example, 9678311 + ... + 9899331.

It is an arithmetic number, because the mean of its divisors is an integer number (83761149384).

Almost surely, 2^{2163535006241} is an apocalyptic number.

It is an amenable number.

2163535006241 is a deficient number, since it is larger than the sum of its proper divisors (516821774047).

2163535006241 is a wasteful number, since it uses less digits than its factorization.

2163535006241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223001.

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 2163535006241 in words is "two trillion, one hundred sixty-three billion, five hundred thirty-five million, six thousand, two hundred forty-one".