511317072 has 120 divisors (see below), whose sum is σ = 1656362240. Its totient is φ = 144218880.

The previous prime is 511317047. The next prime is 511317073. The reversal of 511317072 is 270713115.

It is a happy number.

It is a super-2 number, since 2×511317072² = 522890296237306368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511317073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76422 + ... + 82842.

Almost surely, 2^511317072 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 511317072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828181120).

511317072 is an abundant number, since it is smaller than the sum of its proper divisors (1145045168).

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

511317072 is a wasteful number, since it uses less digits than its factorization.

511317072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6521 (or 6512 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 511317072 is about 22612.3212430745. The cubic root of 511317072 is about 799.6441500703.

The spelling of 511317072 in words is "five hundred eleven million, three hundred seventeen thousand, seventy-two".