511691952 has 80 divisors (see below), whose sum is σ = 1369690112. Its totient is φ = 164436480.

The previous prime is 511691951. The next prime is 511691963. The reversal of 511691952 is 259196115.

It is a self number, because there is not a number n which added to its sum of digits gives 511691952.

It is not an unprimeable number, because it can be changed into a prime (511691951) 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, 545628 + ... + 546564.

Almost surely, 2^511691952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511691952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684845056).

511691952 is an abundant number, since it is smaller than the sum of its proper divisors (857998160).

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

511691952 is a wasteful number, since it uses less digits than its factorization.

511691952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1340 counting only the distinct ones).

The product of its digits is 24300, while the sum is 39.

The square root of 511691952 is about 22620.6090103693. The cubic root of 511691952 is about 799.8395261457.

The spelling of 511691952 in words is "five hundred eleven million, six hundred ninety-one thousand, nine hundred fifty-two".