20513544451241 has 2 divisors, whose sum is σ = 20513544451242. Its totient is φ = 20513544451240.

The previous prime is 20513544451219. The next prime is 20513544451249. The reversal of 20513544451241 is 14215444531502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12601115538025 + 7912428913216 = 3549805^2 + 2812904^2 .

It is a cyclic number.

It is not a de Polignac number, because 20513544451241 - 2³⁸ = 20238666544297 is a prime.

It is not a weakly prime, because it can be changed into another prime (20513544451249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10256772225620 + 10256772225621.

It is an arithmetic number, because the mean of its divisors is an integer number (10256772225621).

Almost surely, 2^{20513544451241} is an apocalyptic number.

It is an amenable number.

20513544451241 is a deficient number, since it is larger than the sum of its proper divisors (1).

20513544451241 is an equidigital number, since it uses as much as digits as its factorization.

20513544451241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384000, while the sum is 41.

Adding to 20513544451241 its reverse (14215444531502), we get a palindrome (34728988982743).

The spelling of 20513544451241 in words is "twenty trillion, five hundred thirteen billion, five hundred forty-four million, four hundred fifty-one thousand, two hundred forty-one".