20291717601 has 27 divisors (see below), whose sum is σ = 29661929427. Its totient is φ = 13367414160.

The previous prime is 20291717591. The next prime is 20291717609. The reversal of 20291717601 is 10671719202.

It is a happy number.

The square root of 20291717601 is 142449.

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

20291717601 is a `hidden beast` number, since 2 + 0 + 29 + 17 + 17 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6504261201 + 13787456400 = 80649^2 + 117420^2 .

It is not a de Polignac number, because 20291717601 - 2¹¹ = 20291715553 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (20291717609) 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, 44016511 + ... + 44016971.

Almost surely, 2^20291717601 is an apocalyptic number.

20291717601 is the 142449-th square number.

20291717601 is the 71225-th centered octagonal number.

It is an amenable number.

20291717601 is a deficient number, since it is larger than the sum of its proper divisors (9370211826).

20291717601 is an frugal number, since it uses more digits than its factorization.

20291717601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

Multiplying 20291717601 by its sum of digits (36), we get a square (730501833636 = 854694²).

The spelling of 20291717601 in words is "twenty billion, two hundred ninety-one million, seven hundred seventeen thousand, six hundred one".