510199968 has 48 divisors (see below), whose sum is σ = 1351818720. Its totient is φ = 168473856.

The previous prime is 510199967. The next prime is 510199973. The reversal of 510199968 is 869991015.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (510199967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14563 + ... + 35106.

It is an arithmetic number, because the mean of its divisors is an integer number (28162890).

Almost surely, 2^510199968 is an apocalyptic number.

It is an amenable number.

510199968 is an abundant number, since it is smaller than the sum of its proper divisors (841618752).

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

510199968 is a wasteful number, since it uses less digits than its factorization.

510199968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49789 (or 49781 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 48.

The square root of 510199968 is about 22587.6065133072. The cubic root of 510199968 is about 799.0613825105.

The spelling of 510199968 in words is "five hundred ten million, one hundred ninety-nine thousand, nine hundred sixty-eight".