42596753 has 2 divisors, whose sum is σ = 42596754. Its totient is φ = 42596752.

The previous prime is 42596707. The next prime is 42596773. The reversal of 42596753 is 35769524.

42596753 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., 36084049 + 6512704 = 6007^2 + 2552^2 .

It is a cyclic number.

It is not a de Polignac number, because 42596753 - 2¹⁸ = 42334609 is a prime.

It is a super-2 number, since 2×42596753² = 3628966732286018, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42596753.

It is not a weakly prime, because it can be changed into another prime (42596773) 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 as a sum of consecutive naturals, namely, 21298376 + 21298377.

It is an arithmetic number, because the mean of its divisors is an integer number (21298377).

Almost surely, 2^42596753 is an apocalyptic number.

It is an amenable number.

42596753 is a deficient number, since it is larger than the sum of its proper divisors (1).

42596753 is an equidigital number, since it uses as much as digits as its factorization.

42596753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 226800, while the sum is 41.

The square root of 42596753 is about 6526.6188030250. The cubic root of 42596753 is about 349.2412215097.

The spelling of 42596753 in words is "forty-two million, five hundred ninety-six thousand, seven hundred fifty-three".