513204149 has 2 divisors, whose sum is σ = 513204150. Its totient is φ = 513204148.

The previous prime is 513204137. The next prime is 513204161. The reversal of 513204149 is 941402315.

It is a balanced prime because it is at equal distance from previous prime (513204137) and next prime (513204161).

It can be written as a sum of positive squares in only one way, i.e., 405418225 + 107785924 = 20135^2 + 10382^2 .

It is a cyclic number.

It is not a de Polignac number, because 513204149 - 2⁸ = 513203893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513204119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256602074 + 256602075.

It is an arithmetic number, because the mean of its divisors is an integer number (256602075).

Almost surely, 2^513204149 is an apocalyptic number.

It is an amenable number.

513204149 is a deficient number, since it is larger than the sum of its proper divisors (1).

513204149 is an equidigital number, since it uses as much as digits as its factorization.

513204149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 513204149 is about 22654.0095568091. The cubic root of 513204149 is about 800.6266699153.

The spelling of 513204149 in words is "five hundred thirteen million, two hundred four thousand, one hundred forty-nine".