513406373 has 2 divisors, whose sum is σ = 513406374. Its totient is φ = 513406372.

The previous prime is 513406337. The next prime is 513406381. The reversal of 513406373 is 373604315.

Together with previous prime (513406337) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 414244609 + 99161764 = 20353^2 + 9958^2 .

It is a cyclic number.

It is not a de Polignac number, because 513406373 - 2¹⁰ = 513405349 is a prime.

It is a super-2 number, since 2×513406373² = 527172207674030258, which contains 22 as substring.

It is a Sophie Germain 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 (513406303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256703186 + 256703187.

It is an arithmetic number, because the mean of its divisors is an integer number (256703187).

Almost surely, 2^513406373 is an apocalyptic number.

It is an amenable number.

513406373 is a deficient number, since it is larger than the sum of its proper divisors (1).

513406373 is an equidigital number, since it uses as much as digits as its factorization.

513406373 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 32.

The square root of 513406373 is about 22658.4724330657. The cubic root of 513406373 is about 800.7318162895.

The spelling of 513406373 in words is "five hundred thirteen million, four hundred six thousand, three hundred seventy-three".