515193966 has 64 divisors (see below), whose sum is σ = 1322012160. Its totient is φ = 145670400.

The previous prime is 515193953. The next prime is 515193967. The reversal of 515193966 is 669391515.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515193967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29641 + ... + 43691.

It is an arithmetic number, because the mean of its divisors is an integer number (20656440).

Almost surely, 2^515193966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515193966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661006080).

515193966 is an abundant number, since it is smaller than the sum of its proper divisors (806818194).

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

515193966 is a wasteful number, since it uses less digits than its factorization.

515193966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14166 (or 14160 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The square root of 515193966 is about 22697.8846150913. The cubic root of 515193966 is about 801.6600767570.

It can be divided in two parts, 515 and 193966, that added together give a 4-th power (194481 = 21⁴).

The spelling of 515193966 in words is "five hundred fifteen million, one hundred ninety-three thousand, nine hundred sixty-six".