1564790142401 has 2 divisors, whose sum is σ = 1564790142402. Its totient is φ = 1564790142400.

The previous prime is 1564790142379. The next prime is 1564790142431. The reversal of 1564790142401 is 1042410974651.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1434018225025 + 130771917376 = 1197505^2 + 361624^2 .

It is an emirp because it is prime and its reverse (1042410974651) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1564790142401 - 2²⁶ = 1564723033537 is a prime.

It is not a weakly prime, because it can be changed into another prime (1564790142431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 782395071200 + 782395071201.

It is an arithmetic number, because the mean of its divisors is an integer number (782395071201).

Almost surely, 2^{1564790142401} is an apocalyptic number.

It is an amenable number.

1564790142401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1564790142401 is an equidigital number, since it uses as much as digits as its factorization.

1564790142401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 1564790142401 in words is "one trillion, five hundred sixty-four billion, seven hundred ninety million, one hundred forty-two thousand, four hundred one".