513241627 has 2 divisors, whose sum is σ = 513241628. Its totient is φ = 513241626.

The previous prime is 513241513. The next prime is 513241633. The reversal of 513241627 is 726142315.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513241627 - 2¹⁵ = 513208859 is a prime.

It is not a weakly prime, because it can be changed into another prime (513241667) 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, 256620813 + 256620814.

It is an arithmetic number, because the mean of its divisors is an integer number (256620814).

Almost surely, 2^513241627 is an apocalyptic number.

513241627 is a deficient number, since it is larger than the sum of its proper divisors (1).

513241627 is an equidigital number, since it uses as much as digits as its factorization.

513241627 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10080, while the sum is 31.

The square root of 513241627 is about 22654.8367241964. The cubic root of 513241627 is about 800.6461586873.

The spelling of 513241627 in words is "five hundred thirteen million, two hundred forty-one thousand, six hundred twenty-seven".