513198653 has 16 divisors (see below), whose sum is σ = 571276800. Its totient is φ = 457121280.

The previous prime is 513198613. The next prime is 513198659. The reversal of 513198653 is 356891315.

It is not a de Polignac number, because 513198653 - 2¹⁴ = 513182269 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513198653.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513198659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108308 + ... + 112946.

It is an arithmetic number, because the mean of its divisors is an integer number (35704800).

Almost surely, 2^513198653 is an apocalyptic number.

It is an amenable number.

513198653 is a deficient number, since it is larger than the sum of its proper divisors (58078147).

513198653 is a wasteful number, since it uses less digits than its factorization.

513198653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852.

The product of its digits is 97200, while the sum is 41.

The square root of 513198653 is about 22653.8882534544. Note that the first 3 decimals coincide. The cubic root of 513198653 is about 800.6238118845.

The spelling of 513198653 in words is "five hundred thirteen million, one hundred ninety-eight thousand, six hundred fifty-three".