90505005041 has 16 divisors (see below), whose sum is σ = 99862891200. Its totient is φ = 81335865600.

The previous prime is 90505004921. The next prime is 90505005049. The reversal of 90505005041 is 14050050509.

It is not a de Polignac number, because 90505005041 - 2²² = 90500810737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90505004995 and 90505005013.

It is not an unprimeable number, because it can be changed into a prime (90505005049) 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 in 15 ways as a sum of consecutive naturals, for example, 8895005 + ... + 8905173.

It is an arithmetic number, because the mean of its divisors is an integer number (6241430700).

Almost surely, 2^90505005041 is an apocalyptic number.

It is an amenable number.

90505005041 is a deficient number, since it is larger than the sum of its proper divisors (9357886159).

90505005041 is a wasteful number, since it uses less digits than its factorization.

90505005041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19360.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 90505005041 in words is "ninety billion, five hundred five million, five thousand, forty-one".