513017361 has 16 divisors (see below), whose sum is σ = 776198400. Its totient is φ = 334733904.

The previous prime is 513017341. The next prime is 513017399. The reversal of 513017361 is 163710315.

It is not a de Polignac number, because 513017361 - 2⁹ = 513016849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (513017311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200866 + ... + 203403.

It is an arithmetic number, because the mean of its divisors is an integer number (48512400).

Almost surely, 2^513017361 is an apocalyptic number.

It is an amenable number.

513017361 is a deficient number, since it is larger than the sum of its proper divisors (263181039).

513017361 is a wasteful number, since it uses less digits than its factorization.

513017361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404325 (or 404319 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 513017361 is about 22649.8865560073. The cubic root of 513017361 is about 800.5295249477.

Adding to 513017361 its reverse (163710315), we get a palindrome (676727676).

The spelling of 513017361 in words is "five hundred thirteen million, seventeen thousand, three hundred sixty-one".