513440431 has 16 divisors (see below), whose sum is σ = 614974464. Its totient is φ = 419120064.

The previous prime is 513440419. The next prime is 513440461. The reversal of 513440431 is 134044315.

It is a cyclic number.

It is not a de Polignac number, because 513440431 - 2⁵ = 513440399 is a prime.

It is a super-2 number, since 2×513440431² = 527242152370931522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513440396 and 513440405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513440461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30670 + ... + 44356.

It is an arithmetic number, because the mean of its divisors is an integer number (38435904).

Almost surely, 2^513440431 is an apocalyptic number.

513440431 is a deficient number, since it is larger than the sum of its proper divisors (101534033).

513440431 is a wasteful number, since it uses less digits than its factorization.

513440431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13950.

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 513440431 is about 22659.2239717074. The cubic root of 513440431 is about 800.7495220308.

Adding to 513440431 its reverse (134044315), we get a palindrome (647484746).

The spelling of 513440431 in words is "five hundred thirteen million, four hundred forty thousand, four hundred thirty-one".