2953903680001 has 2 divisors, whose sum is σ = 2953903680002. Its totient is φ = 2953903680000.

The previous prime is 2953903679921. The next prime is 2953903680011. The reversal of 2953903680001 is 1000863093592.

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., 2888776129600 + 65127550401 = 1699640^2 + 255201^2 .

It is a cyclic number.

It is not a de Polignac number, because 2953903680001 - 2³¹ = 2951756196353 is a prime.

It is not a weakly prime, because it can be changed into another prime (2953903680011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1476951840000 + 1476951840001.

It is an arithmetic number, because the mean of its divisors is an integer number (1476951840001).

Almost surely, 2^{2953903680001} is an apocalyptic number.

It is an amenable number.

2953903680001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2953903680001 is an equidigital number, since it uses as much as digits as its factorization.

2953903680001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 2953903680001 in words is "two trillion, nine hundred fifty-three billion, nine hundred three million, six hundred eighty thousand, one".