91125001 has 16 divisors (see below), whose sum is σ = 102932928. Its totient is φ = 79948800.

The previous prime is 91124983. The next prime is 91125017. The reversal of 91125001 is 10052119.

It is a Cunningham number, because it is equal to 450³+1.

It is a cyclic number.

It is not a de Polignac number, because 91125001 - 2¹⁵ = 91092233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 91125001.

It is not an unprimeable number, because it can be changed into a prime (91125031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42706 + ... + 44788.

It is an arithmetic number, because the mean of its divisors is an integer number (6433308).

Almost surely, 2^91125001 is an apocalyptic number.

It is an amenable number.

91125001 is a deficient number, since it is larger than the sum of its proper divisors (11807927).

91125001 is a wasteful number, since it uses less digits than its factorization.

91125001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232.

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 91125001 is about 9545.9415983967. The cubic root of 91125001 is about 450.0000016461. Note that the first 5 decimals are identical.

The spelling of 91125001 in words is "ninety-one million, one hundred twenty-five thousand, one".