513513097 has 2 divisors, whose sum is σ = 513513098. Its totient is φ = 513513096.

The previous prime is 513513089. The next prime is 513513103. The reversal of 513513097 is 790315315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 320553216 + 192959881 = 17904^2 + 13891^2 .

It is a cyclic number.

It is not a de Polignac number, because 513513097 - 2³ = 513513089 is a prime.

It is not a weakly prime, because it can be changed into another prime (513513017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256756548 + 256756549.

It is an arithmetic number, because the mean of its divisors is an integer number (256756549).

Almost surely, 2^513513097 is an apocalyptic number.

It is an amenable number.

513513097 is a deficient number, since it is larger than the sum of its proper divisors (1).

513513097 is an equidigital number, since it uses as much as digits as its factorization.

513513097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14175, while the sum is 34.

The square root of 513513097 is about 22660.8273679493. The cubic root of 513513097 is about 800.7872963057.

The spelling of 513513097 in words is "five hundred thirteen million, five hundred thirteen thousand, ninety-seven".