513004493 has 2 divisors, whose sum is σ = 513004494. Its totient is φ = 513004492.

The previous prime is 513004487. The next prime is 513004537. The reversal of 513004493 is 394400315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 258984649 + 254019844 = 16093^2 + 15938^2 .

It is a cyclic number.

It is not a de Polignac number, because 513004493 - 2⁴ = 513004477 is a prime.

It is a super-4 number, since 4×513004493⁴ (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513001493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256502246 + 256502247.

It is an arithmetic number, because the mean of its divisors is an integer number (256502247).

Almost surely, 2^513004493 is an apocalyptic number.

It is an amenable number.

513004493 is a deficient number, since it is larger than the sum of its proper divisors (1).

513004493 is an equidigital number, since it uses as much as digits as its factorization.

513004493 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 513004493 is about 22649.6024909931. The cubic root of 513004493 is about 800.5228316719.

The spelling of 513004493 in words is "five hundred thirteen million, four thousand, four hundred ninety-three".