1564041249 has 12 divisors (see below), whose sum is σ = 2279164836. Its totient is φ = 1033466112.

The previous prime is 1564041247. The next prime is 1564041277. The reversal of 1564041249 is 9421404651.

1564041249 is a `hidden beast` number, since 1 + 5 + 6 + 404 + 1 + 249 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 758616849 + 805424400 = 27543^2 + 28380^2 .

It is not a de Polignac number, because 1564041249 - 2¹ = 1564041247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1564041247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 767932 + ... + 769965.

It is an arithmetic number, because the mean of its divisors is an integer number (189930403).

Almost surely, 2^1564041249 is an apocalyptic number.

It is an amenable number.

1564041249 is a deficient number, since it is larger than the sum of its proper divisors (715123587).

1564041249 is a wasteful number, since it uses less digits than its factorization.

1564041249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538016 (or 1538013 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1564041249 is about 39547.9613760305. The cubic root of 1564041249 is about 1160.7786213767.

The spelling of 1564041249 in words is "one billion, five hundred sixty-four million, forty-one thousand, two hundred forty-nine".