513400109 has 2 divisors, whose sum is σ = 513400110. Its totient is φ = 513400108.

The previous prime is 513400081. The next prime is 513400117. The reversal of 513400109 is 901004315.

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., 484132009 + 29268100 = 22003^2 + 5410^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513400109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513400309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256700054 + 256700055.

It is an arithmetic number, because the mean of its divisors is an integer number (256700055).

Almost surely, 2^513400109 is an apocalyptic number.

It is an amenable number.

513400109 is a deficient number, since it is larger than the sum of its proper divisors (1).

513400109 is an equidigital number, since it uses as much as digits as its factorization.

513400109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 513400109 is about 22658.3342062032. The cubic root of 513400109 is about 800.7285597370.

The spelling of 513400109 in words is "five hundred thirteen million, four hundred thousand, one hundred nine".