513424031 has 2 divisors, whose sum is σ = 513424032. Its totient is φ = 513424030.

The previous prime is 513424019. The next prime is 513424039. The reversal of 513424031 is 130424315.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513424031 - 2¹⁰ = 513423007 is a prime.

It is a super-2 number, since 2×513424031² = 527208471216577922, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 513423988 and 513424006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513424039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256712015 + 256712016.

It is an arithmetic number, because the mean of its divisors is an integer number (256712016).

Almost surely, 2^513424031 is an apocalyptic number.

513424031 is a deficient number, since it is larger than the sum of its proper divisors (1).

513424031 is an equidigital number, since it uses as much as digits as its factorization.

513424031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 513424031 is about 22658.8620852857. The cubic root of 513424031 is about 800.7409962563.

Adding to 513424031 its reverse (130424315), we get a palindrome (643848346).

It can be divided in two parts, 51342 and 4031, that multiplied together give a palindrome (206959602).

The spelling of 513424031 in words is "five hundred thirteen million, four hundred twenty-four thousand, thirty-one".