1564040061 has 36 divisors (see below), whose sum is σ = 2361075444. Its totient is φ = 997401600.

The previous prime is 1564040059. The next prime is 1564040077. The reversal of 1564040061 is 1600404651.

1564040061 is a `hidden beast` number, since 1 + 564 + 0 + 40 + 0 + 61 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13176900 + 1550863161 = 3630^2 + 39381^2 .

It is not a de Polignac number, because 1564040061 - 2¹ = 1564040059 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1564040011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 750541 + ... + 752621.

It is an arithmetic number, because the mean of its divisors is an integer number (65585429).

Almost surely, 2^1564040061 is an apocalyptic number.

It is an amenable number.

1564040061 is a deficient number, since it is larger than the sum of its proper divisors (797035383).

1564040061 is a wasteful number, since it uses less digits than its factorization.

1564040061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1564040061 is about 39547.9463562901. The cubic root of 1564040061 is about 1160.7783274788.

The spelling of 1564040061 in words is "one billion, five hundred sixty-four million, forty thousand, sixty-one".