513133711 has 2 divisors, whose sum is σ = 513133712. Its totient is φ = 513133710.

The previous prime is 513133609. The next prime is 513133781. The reversal of 513133711 is 117331315.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513133711 - 2¹⁵ = 513100943 is a prime.

It is a super-3 number, since 3×513133711³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513133781) 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, 256566855 + 256566856.

It is an arithmetic number, because the mean of its divisors is an integer number (256566856).

Almost surely, 2^513133711 is an apocalyptic number.

513133711 is a deficient number, since it is larger than the sum of its proper divisors (1).

513133711 is an equidigital number, since it uses as much as digits as its factorization.

513133711 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 945, while the sum is 25.

The square root of 513133711 is about 22652.4548559312. The cubic root of 513133711 is about 800.5900391894.

The spelling of 513133711 in words is "five hundred thirteen million, one hundred thirty-three thousand, seven hundred eleven".