42564701 has 2 divisors, whose sum is σ = 42564702. Its totient is φ = 42564700.

The previous prime is 42564659. The next prime is 42564703. The reversal of 42564701 is 10746524.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25999801 + 16564900 = 5099^2 + 4070^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42564701 is a prime.

Together with 42564703, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42564703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21282350 + 21282351.

It is an arithmetic number, because the mean of its divisors is an integer number (21282351).

Almost surely, 2^42564701 is an apocalyptic number.

It is an amenable number.

42564701 is a deficient number, since it is larger than the sum of its proper divisors (1).

42564701 is an equidigital number, since it uses as much as digits as its factorization.

42564701 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 42564701 is about 6524.1628581758. The cubic root of 42564701 is about 349.1536038109.

The spelling of 42564701 in words is "forty-two million, five hundred sixty-four thousand, seven hundred one".