513657253 has 2 divisors, whose sum is σ = 513657254. Its totient is φ = 513657252.

The previous prime is 513657247. The next prime is 513657269. The reversal of 513657253 is 352756315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 467986689 + 45670564 = 21633^2 + 6758^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513657253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513657233) 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, 256828626 + 256828627.

It is an arithmetic number, because the mean of its divisors is an integer number (256828627).

Almost surely, 2^513657253 is an apocalyptic number.

It is an amenable number.

513657253 is a deficient number, since it is larger than the sum of its proper divisors (1).

513657253 is an equidigital number, since it uses as much as digits as its factorization.

513657253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 94500, while the sum is 37.

The square root of 513657253 is about 22664.0078759252. The cubic root of 513657253 is about 800.8622229847.

The spelling of 513657253 in words is "five hundred thirteen million, six hundred fifty-seven thousand, two hundred fifty-three".