56637629 has 2 divisors, whose sum is σ = 56637630. Its totient is φ = 56637628.

The previous prime is 56637617. The next prime is 56637631. The reversal of 56637629 is 92673665.

56637629 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., 45091225 + 11546404 = 6715^2 + 3398^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-56637629 is a prime.

It is a Sophie Germain prime.

Together with 56637631, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 56637629.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (56634629) 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, 28318814 + 28318815.

It is an arithmetic number, because the mean of its divisors is an integer number (28318815).

Almost surely, 2^56637629 is an apocalyptic number.

It is an amenable number.

56637629 is a deficient number, since it is larger than the sum of its proper divisors (1).

56637629 is an equidigital number, since it uses as much as digits as its factorization.

56637629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 408240, while the sum is 44.

The square root of 56637629 is about 7525.7975657069. The cubic root of 56637629 is about 384.0328318463.

The spelling of 56637629 in words is "fifty-six million, six hundred thirty-seven thousand, six hundred twenty-nine".