513264241 has 16 divisors (see below), whose sum is σ = 613823488. Its totient is φ = 419904000.

The previous prime is 513264239. The next prime is 513264263. The reversal of 513264241 is 142462315.

It is a 4-Lehmer number, since φ(513264241) divides (513264241-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 513264241 - 2¹ = 513264239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513262241) 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 in 15 ways as a sum of consecutive naturals, for example, 360 + ... + 32041.

It is an arithmetic number, because the mean of its divisors is an integer number (38363968).

Almost surely, 2^513264241 is an apocalyptic number.

It is an amenable number.

513264241 is a deficient number, since it is larger than the sum of its proper divisors (100559247).

513264241 is a wasteful number, since it uses less digits than its factorization.

513264241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32512.

The product of its digits is 5760, while the sum is 28.

The square root of 513264241 is about 22655.3358174184. The cubic root of 513264241 is about 800.6579176363.

The spelling of 513264241 in words is "five hundred thirteen million, two hundred sixty-four thousand, two hundred forty-one".