1564100081 has 2 divisors, whose sum is σ = 1564100082. Its totient is φ = 1564100080.

The previous prime is 1564100053. The next prime is 1564100107. The reversal of 1564100081 is 1800014651.

It is an a-pointer prime, because the next prime (1564100107) can be obtained adding 1564100081 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1460386225 + 103713856 = 38215^2 + 10184^2 .

It is an emirp because it is prime and its reverse (1800014651) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1564100081 - 2²² = 1559905777 is a prime.

It is a super-2 number, since 2×1564100081² = 4892818126768413122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1564100081.

It is not a weakly prime, because it can be changed into another prime (1564100281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 782050040 + 782050041.

It is an arithmetic number, because the mean of its divisors is an integer number (782050041).

Almost surely, 2^1564100081 is an apocalyptic number.

It is an amenable number.

1564100081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1564100081 is an equidigital number, since it uses as much as digits as its factorization.

1564100081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 1564100081 is about 39548.7051747589. The cubic root of 1564100081 is about 1160.7931755691.

The spelling of 1564100081 in words is "one billion, five hundred sixty-four million, one hundred thousand, eighty-one".