2027209287601 has 27 divisors (see below), whose sum is σ = 2190948740643. Its totient is φ = 1875316773120.

The previous prime is 2027209287529. The next prime is 2027209287611. The reversal of 2027209287601 is 1067829027202.

The square root of 2027209287601 is 1423801.

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

It can be written as a sum of positive squares in 13 ways, for example, as 332005287601 + 1695204000000 = 576199^2 + 1302000^2 .

It is not a de Polignac number, because 2027209287601 - 2²⁹ = 2026672416689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2027209287611) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1476480951 + ... + 1476482323.

Almost surely, 2^{2027209287601} is an apocalyptic number.

2027209287601 is the 1423801-st square number.

2027209287601 is the 711901-st centered octagonal number.

It is an amenable number.

2027209287601 is a deficient number, since it is larger than the sum of its proper divisors (163739453042).

2027209287601 is an frugal number, since it uses more digits than its factorization.

2027209287601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 2027209287601 in words is "two trillion, twenty-seven billion, two hundred nine million, two hundred eighty-seven thousand, six hundred one".