2164063524353 has 2 divisors, whose sum is σ = 2164063524354. Its totient is φ = 2164063524352.

The previous prime is 2164063524319. The next prime is 2164063524367. The reversal of 2164063524353 is 3534253604612.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1544335600369 + 619727923984 = 1242713^2 + 787228^2 .

It is a cyclic number.

It is not a de Polignac number, because 2164063524353 - 2¹⁸ = 2164063262209 is a prime.

It is not a weakly prime, because it can be changed into another prime (2164063524383) 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 as a sum of consecutive naturals, namely, 1082031762176 + 1082031762177.

It is an arithmetic number, because the mean of its divisors is an integer number (1082031762177).

Almost surely, 2^{2164063524353} is an apocalyptic number.

It is an amenable number.

2164063524353 is a deficient number, since it is larger than the sum of its proper divisors (1).

2164063524353 is an equidigital number, since it uses as much as digits as its factorization.

2164063524353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1555200, while the sum is 44.

The spelling of 2164063524353 in words is "two trillion, one hundred sixty-four billion, sixty-three million, five hundred twenty-four thousand, three hundred fifty-three".