513746501 has 2 divisors, whose sum is σ = 513746502. Its totient is φ = 513746500.

The previous prime is 513746449. The next prime is 513746521. The reversal of 513746501 is 105647315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 484044001 + 29702500 = 22001^2 + 5450^2 .

It is a cyclic number.

It is not a de Polignac number, because 513746501 - 2¹⁴ = 513730117 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513746521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256873250 + 256873251.

It is an arithmetic number, because the mean of its divisors is an integer number (256873251).

Almost surely, 2^513746501 is an apocalyptic number.

It is an amenable number.

513746501 is a deficient number, since it is larger than the sum of its proper divisors (1).

513746501 is an equidigital number, since it uses as much as digits as its factorization.

513746501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 513746501 is about 22665.9767272447. The cubic root of 513746501 is about 800.9086035962.

It can be divided in two parts, 51374 and 6501, that added together give a palindrome (57875).

The spelling of 513746501 in words is "five hundred thirteen million, seven hundred forty-six thousand, five hundred one".