20377277001 has 63 divisors (see below), whose sum is σ = 32559520183. Its totient is φ = 12744630720.

The previous prime is 20377276991. The next prime is 20377277003. The reversal of 20377277001 is 10077277302.

The square root of 20377277001 is 142749.

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

It can be written as a sum of positive squares in only one way, i.e., 15864662025 + 4512614976 = 125955^2 + 67176^2 .

It is not a de Polignac number, because 20377277001 - 2¹⁹ = 20376752713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20377277003) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 65521636 + ... + 65521946.

Almost surely, 2^20377277001 is an apocalyptic number.

20377277001 is the 142749-th square number.

20377277001 is the 71375-th centered octagonal number.

It is an amenable number.

20377277001 is a deficient number, since it is larger than the sum of its proper divisors (12182243182).

20377277001 is an frugal number, since it uses more digits than its factorization.

20377277001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

Multiplying 20377277001 by its sum of digits (36), we get a square (733581972036 = 856494²).

The spelling of 20377277001 in words is "twenty billion, three hundred seventy-seven million, two hundred seventy-seven thousand, one".