16540164001 has 8 divisors (see below), whose sum is σ = 16917669504. Its totient is φ = 16163724720.

The previous prime is 16540163989. The next prime is 16540164013. The reversal of 16540164001 is 10046104561.

It is an interprime number because it is at equal distance from previous prime (16540163989) and next prime (16540164013).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 16540164001 - 2¹³ = 16540155809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16540104001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235135 + ... + 297268.

It is an arithmetic number, because the mean of its divisors is an integer number (2114708688).

Almost surely, 2^16540164001 is an apocalyptic number.

It is an amenable number.

16540164001 is a deficient number, since it is larger than the sum of its proper divisors (377505503).

16540164001 is an equidigital number, since it uses as much as digits as its factorization.

16540164001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533111.

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 16540164001 its reverse (10046104561), we get a palindrome (26586268562).

The spelling of 16540164001 in words is "sixteen billion, five hundred forty million, one hundred sixty-four thousand, one".