20577615601 has 9 divisors (see below), whose sum is σ = 21154254849. Its totient is φ = 20016299664.

The previous prime is 20577615593. The next prime is 20577615629. The reversal of 20577615601 is 10651677502.

It is a happy number.

The square root of 20577615601 is 143449.

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

It can be written as a sum of positive squares in 4 ways, for example, as 798006001 + 19779609600 = 28249^2 + 140640^2 .

It is not a de Polignac number, because 20577615601 - 2³ = 20577615593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20577615661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5305675 + ... + 5309551.

It is an arithmetic number, because the mean of its divisors is an integer number (2350472761).

Almost surely, 2^20577615601 is an apocalyptic number.

20577615601 is the 143449-th square number.

20577615601 is the 71725-th centered octagonal number.

It is an amenable number.

20577615601 is a deficient number, since it is larger than the sum of its proper divisors (576639248).

20577615601 is an frugal number, since it uses more digits than its factorization.

20577615601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7828 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

The spelling of 20577615601 in words is "twenty billion, five hundred seventy-seven million, six hundred fifteen thousand, six hundred one".