513053381 has 2 divisors, whose sum is σ = 513053382. Its totient is φ = 513053380.

The previous prime is 513053347. The next prime is 513053399. The reversal of 513053381 is 183350315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 262116100 + 250937281 = 16190^2 + 15841^2 .

It is a cyclic number.

It is not a de Polignac number, because 513053381 - 2¹⁰ = 513052357 is a prime.

It is a super-2 number, since 2×513053381² = 526447543511062322, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513053311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256526690 + 256526691.

It is an arithmetic number, because the mean of its divisors is an integer number (256526691).

Almost surely, 2^513053381 is an apocalyptic number.

It is an amenable number.

513053381 is a deficient number, since it is larger than the sum of its proper divisors (1).

513053381 is an equidigital number, since it uses as much as digits as its factorization.

513053381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 513053381 is about 22650.6816895210. The cubic root of 513053381 is about 800.5482601152.

The spelling of 513053381 in words is "five hundred thirteen million, fifty-three thousand, three hundred eighty-one".