511640272 has 120 divisors (see below), whose sum is σ = 1215625320. Its totient is φ = 206976000.

The previous prime is 511640257. The next prime is 511640287. The reversal of 511640272 is 272046115.

It is an interprime number because it is at equal distance from previous prime (511640257) and next prime (511640287).

It can be written as a sum of positive squares in 4 ways, for example, as 82156096 + 429484176 = 9064^2 + 20724^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 511640272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729522 + ... + 730222.

It is an arithmetic number, because the mean of its divisors is an integer number (10130211).

Almost surely, 2^511640272 is an apocalyptic number.

511640272 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 511640272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607812660).

511640272 is an abundant number, since it is smaller than the sum of its proper divisors (703985048).

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

511640272 is a wasteful number, since it uses less digits than its factorization.

511640272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 511640272 is about 22619.4666603791. The cubic root of 511640272 is about 799.8125977706.

Adding to 511640272 its reverse (272046115), we get a palindrome (783686387).

The spelling of 511640272 in words is "five hundred eleven million, six hundred forty thousand, two hundred seventy-two".