511709952 has 144 divisors (see below), whose sum is σ = 1483453440. Its totient is φ = 155652096.

The previous prime is 511709951. The next prime is 511709977. The reversal of 511709952 is 259907115.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 511709952.

It is not an unprimeable number, because it can be changed into a prime (511709951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1068049 + ... + 1068527.

It is an arithmetic number, because the mean of its divisors is an integer number (10301760).

Almost surely, 2^511709952 is an apocalyptic number.

511709952 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511709952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741726720).

511709952 is an abundant number, since it is smaller than the sum of its proper divisors (971743488).

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

511709952 is a wasteful number, since it uses less digits than its factorization.

511709952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 39.

The square root of 511709952 is about 22621.0068741425. The cubic root of 511709952 is about 799.8489047979.

The spelling of 511709952 in words is "five hundred eleven million, seven hundred nine thousand, nine hundred fifty-two".