20277018006001 has 3 divisors (see below), whose sum is σ = 20277022509003. Its totient is φ = 20277013503000.

The previous prime is 20277018005989. The next prime is 20277018006107. The reversal of 20277018006001 is 10060081077202.

It is a happy number.

The square root of 20277018006001 is 4503001.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 9006001 + 20277009000000 = 3001^2 + 4503000^2 .

It is not a de Polignac number, because 20277018006001 - 2⁷ = 20277018005873 is a prime.

It is a super-2 number, since 2×20277018006001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20277018006901) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2251501 + ... + 6754501.

It is an arithmetic number, because the mean of its divisors is an integer number (6759007503001).

Almost surely, 2^{20277018006001} is an apocalyptic number.

20277018006001 is the 4503001-st square number.

20277018006001 is the 2251501-st centered octagonal number.

It is an amenable number.

20277018006001 is a deficient number, since it is larger than the sum of its proper divisors (4503002).

20277018006001 is an frugal number, since it uses more digits than its factorization.

20277018006001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006002 (or 4503001 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The spelling of 20277018006001 in words is "twenty trillion, two hundred seventy-seven billion, eighteen million, six thousand, one".