1292817806233 has 8 divisors (see below), whose sum is σ = 1369226873448. Its totient is φ = 1216448845824.

The previous prime is 1292817806221. The next prime is 1292817806279. The reversal of 1292817806233 is 3326087182921.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3110069824 + 1289707736409 = 55768^2 + 1135653^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1292817806233 is a prime.

It is a super-2 number, since 2×1292817806233² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1292817806633) 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 7 ways as a sum of consecutive naturals, for example, 9960316 + ... + 10089277.

It is an arithmetic number, because the mean of its divisors is an integer number (171153359181).

Almost surely, 2^{1292817806233} is an apocalyptic number.

It is an amenable number.

1292817806233 is a deficient number, since it is larger than the sum of its proper divisors (76409067215).

1292817806233 is a wasteful number, since it uses less digits than its factorization.

1292817806233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20053403.

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 1292817806233 in words is "one trillion, two hundred ninety-two billion, eight hundred seventeen million, eight hundred six thousand, two hundred thirty-three".