513353461 has 2 divisors, whose sum is σ = 513353462. Its totient is φ = 513353460.

The previous prime is 513353417. The next prime is 513353543. The reversal of 513353461 is 164353315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 499522500 + 13830961 = 22350^2 + 3719^2 .

It is a cyclic number.

It is not a de Polignac number, because 513353461 - 2¹⁷ = 513222389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513353161) 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, 256676730 + 256676731.

It is an arithmetic number, because the mean of its divisors is an integer number (256676731).

Almost surely, 2^513353461 is an apocalyptic number.

It is an amenable number.

513353461 is a deficient number, since it is larger than the sum of its proper divisors (1).

513353461 is an equidigital number, since it uses as much as digits as its factorization.

513353461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16200, while the sum is 31.

The square root of 513353461 is about 22657.3048044113. The cubic root of 513353461 is about 800.7043073611.

The spelling of 513353461 in words is "five hundred thirteen million, three hundred fifty-three thousand, four hundred sixty-one".