513198315 has 64 divisors (see below), whose sum is σ = 1064064000. Its totient is φ = 234583776.

The previous prime is 513198313. The next prime is 513198331. The reversal of 513198315 is 513891315.

It is not a de Polignac number, because 513198315 - 2¹ = 513198313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513198315.

It is not an unprimeable number, because it can be changed into a prime (513198313) 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 63 ways as a sum of consecutive naturals, for example, 40764 + ... + 51846.

It is an arithmetic number, because the mean of its divisors is an integer number (16626000).

Almost surely, 2^513198315 is an apocalyptic number.

513198315 is an abundant number, since it is smaller than the sum of its proper divisors (550865685).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513198315 is a wasteful number, since it uses less digits than its factorization.

513198315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11118 (or 11098 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 513198315 is about 22653.8807933652. The cubic root of 513198315 is about 800.6236361170.

The spelling of 513198315 in words is "five hundred thirteen million, one hundred ninety-eight thousand, three hundred fifteen".