90377133177293 has 2 divisors, whose sum is σ = 90377133177294. Its totient is φ = 90377133177292.

The previous prime is 90377133177241. The next prime is 90377133177299. The reversal of 90377133177293 is 39277133177309.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90265257644809 + 111875532484 = 9500803^2 + 334478^2 .

It is a cyclic number.

It is not a de Polignac number, because 90377133177293 - 2¹⁰ = 90377133176269 is a prime.

It is a super-2 number, since 2×90377133177293² (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 (90377133177299) 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, 45188566588646 + 45188566588647.

It is an arithmetic number, because the mean of its divisors is an integer number (45188566588647).

Almost surely, 2^{90377133177293} is an apocalyptic number.

It is an amenable number.

90377133177293 is a deficient number, since it is larger than the sum of its proper divisors (1).

90377133177293 is an equidigital number, since it uses as much as digits as its factorization.

90377133177293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31505922, while the sum is 62.

The spelling of 90377133177293 in words is "ninety trillion, three hundred seventy-seven billion, one hundred thirty-three million, one hundred seventy-seven thousand, two hundred ninety-three".