742505653 has 2 divisors, whose sum is σ = 742505654. Its totient is φ = 742505652.

The previous prime is 742505629. The next prime is 742505669. The reversal of 742505653 is 356505247.

742505653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 732405969 + 10099684 = 27063^2 + 3178^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-742505653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (742505353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 371252826 + 371252827.

It is an arithmetic number, because the mean of its divisors is an integer number (371252827).

Almost surely, 2^742505653 is an apocalyptic number.

It is an amenable number.

742505653 is a deficient number, since it is larger than the sum of its proper divisors (1).

742505653 is an equidigital number, since it uses as much as digits as its factorization.

742505653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126000, while the sum is 37.

The square root of 742505653 is about 27248.9569158161. The cubic root of 742505653 is about 905.5239085671.

The spelling of 742505653 in words is "seven hundred forty-two million, five hundred five thousand, six hundred fifty-three".