90261968353301 has 2 divisors, whose sum is σ = 90261968353302. Its totient is φ = 90261968353300.

The previous prime is 90261968353253. The next prime is 90261968353399. The reversal of 90261968353301 is 10335386916209.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66974336926225 + 23287631427076 = 8183785^2 + 4825726^2 .

It is an emirp because it is prime and its reverse (10335386916209) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-90261968353301 is a prime.

It is a super-2 number, since 2×90261968353301² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90261968353901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45130984176650 + 45130984176651.

It is an arithmetic number, because the mean of its divisors is an integer number (45130984176651).

Almost surely, 2^{90261968353301} is an apocalyptic number.

It is an amenable number.

90261968353301 is a deficient number, since it is larger than the sum of its proper divisors (1).

90261968353301 is an equidigital number, since it uses as much as digits as its factorization.

90261968353301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6298560, while the sum is 56.

The spelling of 90261968353301 in words is "ninety trillion, two hundred sixty-one billion, nine hundred sixty-eight million, three hundred fifty-three thousand, three hundred one".