20412013331257 has 2 divisors, whose sum is σ = 20412013331258. Its totient is φ = 20412013331256.

The previous prime is 20412013331123. The next prime is 20412013331267. The reversal of 20412013331257 is 75213331021402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18701957579776 + 1710055751481 = 4324576^2 + 1307691^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20412013331257 is a prime.

It is not a weakly prime, because it can be changed into another prime (20412013331267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10206006665628 + 10206006665629.

It is an arithmetic number, because the mean of its divisors is an integer number (10206006665629).

Almost surely, 2^{20412013331257} is an apocalyptic number.

It is an amenable number.

20412013331257 is a deficient number, since it is larger than the sum of its proper divisors (1).

20412013331257 is an equidigital number, since it uses as much as digits as its factorization.

20412013331257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 34.

Adding to 20412013331257 its reverse (75213331021402), we get a palindrome (95625344352659).

The spelling of 20412013331257 in words is "twenty trillion, four hundred twelve billion, thirteen million, three hundred thirty-one thousand, two hundred fifty-seven".