21624290617 has 2 divisors, whose sum is σ = 21624290618. Its totient is φ = 21624290616.

The previous prime is 21624290593. The next prime is 21624290741. The reversal of 21624290617 is 71609242612.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21202563321 + 421727296 = 145611^2 + 20536^2 .

It is a cyclic number.

It is not a de Polignac number, because 21624290617 - 2³¹ = 19476806969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21624290617.

It is not a weakly prime, because it can be changed into another prime (21624290117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10812145308 + 10812145309.

It is an arithmetic number, because the mean of its divisors is an integer number (10812145309).

Almost surely, 2^21624290617 is an apocalyptic number.

It is an amenable number.

21624290617 is a deficient number, since it is larger than the sum of its proper divisors (1).

21624290617 is an equidigital number, since it uses as much as digits as its factorization.

21624290617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 21624290617 in words is "twenty-one billion, six hundred twenty-four million, two hundred ninety thousand, six hundred seventeen".