1564289736461 has 2 divisors, whose sum is σ = 1564289736462. Its totient is φ = 1564289736460.

The previous prime is 1564289736437. The next prime is 1564289736463. The reversal of 1564289736461 is 1646379824651.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1563975348100 + 314388361 = 1250590^2 + 17731^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1564289736461 is a prime.

Together with 1564289736463, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1564289736394 and 1564289736403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1564289736463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 782144868230 + 782144868231.

It is an arithmetic number, because the mean of its divisors is an integer number (782144868231).

Almost surely, 2^{1564289736461} is an apocalyptic number.

It is an amenable number.

1564289736461 is a deficient number, since it is larger than the sum of its proper divisors (1).

1564289736461 is an equidigital number, since it uses as much as digits as its factorization.

1564289736461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 52254720, while the sum is 62.

The spelling of 1564289736461 in words is "one trillion, five hundred sixty-four billion, two hundred eighty-nine million, seven hundred thirty-six thousand, four hundred sixty-one".