68002591 has 2 divisors, whose sum is σ = 68002592. Its totient is φ = 68002590.

The previous prime is 68002589. The next prime is 68002603. The reversal of 68002591 is 19520086.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 68002591 - 2¹ = 68002589 is a prime.

It is a super-3 number, since 3×68002591³ (a number of 24 digits) contains 333 as substring.

Together with 68002589, it forms a pair of twin primes.

It is equal to p_4007488 and since 68002591 and 4007488 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (68002511) 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, 34001295 + 34001296.

It is an arithmetic number, because the mean of its divisors is an integer number (34001296).

Almost surely, 2^68002591 is an apocalyptic number.

68002591 is a deficient number, since it is larger than the sum of its proper divisors (1).

68002591 is an equidigital number, since it uses as much as digits as its factorization.

68002591 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 68002591 is about 8246.3683521900. The cubic root of 68002591 is about 408.1706942280.

The spelling of 68002591 in words is "sixty-eight million, two thousand, five hundred ninety-one".