53661305407441 has 2 divisors, whose sum is σ = 53661305407442. Its totient is φ = 53661305407440.

The previous prime is 53661305407433. The next prime is 53661305407447. The reversal of 53661305407441 is 14470450316635.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37041781750416 + 16619523657025 = 6086196^2 + 4076705^2 .

It is a cyclic number.

It is not a de Polignac number, because 53661305407441 - 2³ = 53661305407433 is a prime.

It is not a weakly prime, because it can be changed into another prime (53661305407447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26830652703720 + 26830652703721.

It is an arithmetic number, because the mean of its divisors is an integer number (26830652703721).

Almost surely, 2^{53661305407441} is an apocalyptic number.

It is an amenable number.

53661305407441 is a deficient number, since it is larger than the sum of its proper divisors (1).

53661305407441 is an equidigital number, since it uses as much as digits as its factorization.

53661305407441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3628800, while the sum is 49.

The spelling of 53661305407441 in words is "fifty-three trillion, six hundred sixty-one billion, three hundred five million, four hundred seven thousand, four hundred forty-one".