354303513220409 has 2 divisors, whose sum is σ = 354303513220410. Its totient is φ = 354303513220408.

The previous prime is 354303513220357. The next prime is 354303513220441. The reversal of 354303513220409 is 904022315303453.

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., 293189081245225 + 61114431975184 = 17122765^2 + 7817572^2 .

It is a cyclic number.

It is not a de Polignac number, because 354303513220409 - 2³⁶ = 354234793743673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 354303513220409.

It is not a weakly prime, because it can be changed into another prime (354303513223409) 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, 177151756610204 + 177151756610205.

It is an arithmetic number, because the mean of its divisors is an integer number (177151756610205).

Almost surely, 2^{354303513220409} is an apocalyptic number.

It is an amenable number.

354303513220409 is a deficient number, since it is larger than the sum of its proper divisors (1).

354303513220409 is an equidigital number, since it uses as much as digits as its factorization.

354303513220409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1166400, while the sum is 44.

The spelling of 354303513220409 in words is "three hundred fifty-four trillion, three hundred three billion, five hundred thirteen million, two hundred twenty thousand, four hundred nine".