20157217523041 has 9 divisors (see below), whose sum is σ = 20203111809363. Its totient is φ = 20111427286920.

The previous prime is 20157217523039. The next prime is 20157217523063. The reversal of 20157217523041 is 14032571275102.

It is a happy number.

The square root of 20157217523041 is 4489679.

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., 6461148850641 + 13696068672400 = 2541879^2 + 3700820^2 .

It is not a de Polignac number, because 20157217523041 - 2¹ = 20157217523039 is a prime.

It is a super-2 number, since 2×20157217523041² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20157217522985 and 20157217523003.

It is not an unprimeable number, because it can be changed into a prime (20157217523441) 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, 2069737150 + ... + 2069746888.

Almost surely, 2^{20157217523041} is an apocalyptic number.

20157217523041 is the 4489679-th square number.

20157217523041 is the 2244840-th centered octagonal number.

It is an amenable number.

20157217523041 is a deficient number, since it is larger than the sum of its proper divisors (45894286322).

20157217523041 is an frugal number, since it uses more digits than its factorization.

20157217523041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20400 (or 10200 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

Adding to 20157217523041 its reverse (14032571275102), we get a palindrome (34189788798143).

The spelling of 20157217523041 in words is "twenty trillion, one hundred fifty-seven billion, two hundred seventeen million, five hundred twenty-three thousand, forty-one".