510504013 has 2 divisors, whose sum is σ = 510504014. Its totient is φ = 510504012.

The previous prime is 510503977. The next prime is 510504017. The reversal of 510504013 is 310405015.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 366071689 + 144432324 = 19133^2 + 12018^2 .

It is a cyclic number.

It is not a de Polignac number, because 510504013 - 2²⁵ = 476949581 is a prime.

It is a super-2 number, since 2×510504013² = 521228694578208338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (510504017) 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, 255252006 + 255252007.

It is an arithmetic number, because the mean of its divisors is an integer number (255252007).

Almost surely, 2^510504013 is an apocalyptic number.

It is an amenable number.

510504013 is a deficient number, since it is larger than the sum of its proper divisors (1).

510504013 is an equidigital number, since it uses as much as digits as its factorization.

510504013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 510504013 is about 22594.3358610073. The cubic root of 510504013 is about 799.2200800073.

Adding to 510504013 its reverse (310405015), we get a palindrome (820909028).

The spelling of 510504013 in words is "five hundred ten million, five hundred four thousand, thirteen".