90377133167309 has 2 divisors, whose sum is σ = 90377133167310. Its totient is φ = 90377133167308.

The previous prime is 90377133167303. The next prime is 90377133167317. The reversal of 90377133167309 is 90376133177309.

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., 54319774338025 + 36057358829284 = 7370195^2 + 6004778^2 .

It is a cyclic number.

It is not a de Polignac number, because 90377133167309 - 2³² = 90372838200013 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90377133167303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45188566583654 + 45188566583655.

It is an arithmetic number, because the mean of its divisors is an integer number (45188566583655).

Almost surely, 2^{90377133167309} is an apocalyptic number.

It is an amenable number.

90377133167309 is a deficient number, since it is larger than the sum of its proper divisors (1).

90377133167309 is an equidigital number, since it uses as much as digits as its factorization.

90377133167309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13502538, while the sum is 59.

The spelling of 90377133167309 in words is "ninety trillion, three hundred seventy-seven billion, one hundred thirty-three million, one hundred sixty-seven thousand, three hundred nine".