20822785113601 has 9 divisors (see below), whose sum is σ = 20849829740803. Its totient is φ = 20795775538720.

The previous prime is 20822785113553. The next prime is 20822785113649. The reversal of 20822785113601 is 10631158722802.

It is a happy number.

The square root of 20822785113601 is 4563199.

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

It is an interprime number because it is at equal distance from previous prime (20822785113553) and next prime (20822785113649).

It can be written as a sum of positive squares in only one way, i.e., 9826663832001 + 10996121281600 = 3134751^2 + 3316040^2 .

It is not a de Polignac number, because 20822785113601 - 2²⁷ = 20822650895873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20822785113661) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4157071785 + ... + 4157076793.

Almost surely, 2^{20822785113601} is an apocalyptic number.

20822785113601 is the 4563199-th square number.

20822785113601 is the 2281600-th centered octagonal number.

It is an amenable number.

20822785113601 is a deficient number, since it is larger than the sum of its proper divisors (27044627202).

20822785113601 is an frugal number, since it uses more digits than its factorization.

20822785113601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11840 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 20822785113601 in words is "twenty trillion, eight hundred twenty-two billion, seven hundred eighty-five million, one hundred thirteen thousand, six hundred one".