90504955901 has 2 divisors, whose sum is σ = 90504955902. Its totient is φ = 90504955900.

The previous prime is 90504955867. The next prime is 90504955969. The reversal of 90504955901 is 10955940509.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89311322500 + 1193633401 = 298850^2 + 34549^2 .

It is an emirp because it is prime and its reverse (10955940509) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90504955901 - 2²² = 90500761597 is a prime.

It is a super-2 number, since 2×90504955901² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90504955001) 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, 45252477950 + 45252477951.

It is an arithmetic number, because the mean of its divisors is an integer number (45252477951).

Almost surely, 2^90504955901 is an apocalyptic number.

It is an amenable number.

90504955901 is a deficient number, since it is larger than the sum of its proper divisors (1).

90504955901 is an equidigital number, since it uses as much as digits as its factorization.

90504955901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 364500, while the sum is 47.

The spelling of 90504955901 in words is "ninety billion, five hundred four million, nine hundred fifty-five thousand, nine hundred one".