726046511 has 2 divisors, whose sum is σ = 726046512. Its totient is φ = 726046510.

The previous prime is 726046501. The next prime is 726046513. The reversal of 726046511 is 115640627.

It is a strong prime.

It is an emirp because it is prime and its reverse (115640627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 726046511 - 2²⁶ = 658937647 is a prime.

It is a super-2 number, since 2×726046511² = 1054287072270546242, which contains 22 as substring.

Together with 726046513, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (726046513) 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, 363023255 + 363023256.

It is an arithmetic number, because the mean of its divisors is an integer number (363023256).

Almost surely, 2^726046511 is an apocalyptic number.

726046511 is a deficient number, since it is larger than the sum of its proper divisors (1).

726046511 is an equidigital number, since it uses as much as digits as its factorization.

726046511 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 726046511 is about 26945.2502493482. The cubic root of 726046511 is about 898.7829273189.

The spelling of 726046511 in words is "seven hundred twenty-six million, forty-six thousand, five hundred eleven".