513237007 has 2 divisors, whose sum is σ = 513237008. Its totient is φ = 513237006.

The previous prime is 513236989. The next prime is 513237017. The reversal of 513237007 is 700732315.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513237007 - 2¹¹ = 513234959 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513237017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256618503 + 256618504.

It is an arithmetic number, because the mean of its divisors is an integer number (256618504).

Almost surely, 2^513237007 is an apocalyptic number.

513237007 is a deficient number, since it is larger than the sum of its proper divisors (1).

513237007 is an equidigital number, since it uses as much as digits as its factorization.

513237007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 513237007 is about 22654.7347589858. The cubic root of 513237007 is about 800.6437563125.

The spelling of 513237007 in words is "five hundred thirteen million, two hundred thirty-seven thousand, seven".