513462409 has 2 divisors, whose sum is σ = 513462410. Its totient is φ = 513462408.

The previous prime is 513462361. The next prime is 513462421. The reversal of 513462409 is 904264315.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 393625600 + 119836809 = 19840^2 + 10947^2 .

It is a cyclic number.

It is not a de Polignac number, because 513462409 - 2¹⁵ = 513429641 is a prime.

It is not a weakly prime, because it can be changed into another prime (513469409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256731204 + 256731205.

It is an arithmetic number, because the mean of its divisors is an integer number (256731205).

Almost surely, 2^513462409 is an apocalyptic number.

It is an amenable number.

513462409 is a deficient number, since it is larger than the sum of its proper divisors (1).

513462409 is an equidigital number, since it uses as much as digits as its factorization.

513462409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 513462409 is about 22659.7089345825. The cubic root of 513462409 is about 800.7609473236.

The spelling of 513462409 in words is "five hundred thirteen million, four hundred sixty-two thousand, four hundred nine".