90500312151011 has 24 divisors (see below), whose sum is σ = 106843077336960. Its totient is φ = 76423207335552.

The previous prime is 90500312151001. The next prime is 90500312151077. The reversal of 90500312151011 is 11015121300509.

It is not a de Polignac number, because 90500312151011 - 2⁶ = 90500312150947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90500312151001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36250835 + ... + 38666828.

It is an arithmetic number, because the mean of its divisors is an integer number (4451794889040).

Almost surely, 2^{90500312151011} is an apocalyptic number.

90500312151011 is a deficient number, since it is larger than the sum of its proper divisors (16342765185949).

90500312151011 is a wasteful number, since it uses less digits than its factorization.

90500312151011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74918043 (or 74918036 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 29.

The spelling of 90500312151011 in words is "ninety trillion, five hundred billion, three hundred twelve million, one hundred fifty-one thousand, eleven".