20572164901 has 16 divisors (see below), whose sum is σ = 20926852848. Its totient is φ = 20220928000.

The previous prime is 20572164889. The next prime is 20572164911. The reversal of 20572164901 is 10946127502.

It is a Cunningham number, because it is equal to 143430²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 12853663876 + 7718501025 = 113374^2 + 87855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20572164901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20572164911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12753171 + ... + 12754783.

It is an arithmetic number, because the mean of its divisors is an integer number (1307928303).

Almost surely, 2^20572164901 is an apocalyptic number.

It is an amenable number.

20572164901 is a deficient number, since it is larger than the sum of its proper divisors (354687947).

20572164901 is a wasteful number, since it uses less digits than its factorization.

20572164901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552.

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 20572164901 in words is "twenty billion, five hundred seventy-two million, one hundred sixty-four thousand, nine hundred one".