91001892001 has 4 divisors (see below), whose sum is σ = 91021140100. Its totient is φ = 90982643904.

The previous prime is 91001891989. The next prime is 91001892011. The reversal of 91001892001 is 10029810019.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 15926440000 + 75075452001 = 126200^2 + 273999^2 .

It is a cyclic number.

It is not a de Polignac number, because 91001892001 - 2⁵ = 91001891969 is a prime.

It is a super-3 number, since 3×91001892001³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91001892011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9616956 + ... + 9626413.

It is an arithmetic number, because the mean of its divisors is an integer number (22755285025).

Almost surely, 2^91001892001 is an apocalyptic number.

It is an amenable number.

91001892001 is a deficient number, since it is larger than the sum of its proper divisors (19248099).

91001892001 is a wasteful number, since it uses less digits than its factorization.

91001892001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19248098.

The product of its (nonzero) digits is 1296, while the sum is 31.

The spelling of 91001892001 in words is "ninety-one billion, one million, eight hundred ninety-two thousand, one".