513408011 has 2 divisors, whose sum is σ = 513408012. Its totient is φ = 513408010.

The previous prime is 513407977. The next prime is 513408023. The reversal of 513408011 is 110804315.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513408011 is a prime.

It is a super-2 number, since 2×513408011² = 527175571517952242, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (513408031) 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, 256704005 + 256704006.

It is an arithmetic number, because the mean of its divisors is an integer number (256704006).

Almost surely, 2^513408011 is an apocalyptic number.

513408011 is a deficient number, since it is larger than the sum of its proper divisors (1).

513408011 is an equidigital number, since it uses as much as digits as its factorization.

513408011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 513408011 is about 22658.5085784568. The cubic root of 513408011 is about 800.7326678549.

The spelling of 513408011 in words is "five hundred thirteen million, four hundred eight thousand, eleven".