511020640312 has 128 divisors (see below), whose sum is σ = 1213283635200. Its totient is φ = 196415290368.

The previous prime is 511020640303. The next prime is 511020640313. The reversal of 511020640312 is 213046020115.

It is a happy number.

It is a super-2 number, since 2×511020640312² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511020640313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3488889 + ... + 3632407.

It is an arithmetic number, because the mean of its divisors is an integer number (9478778400).

Almost surely, 2^511020640312 is an apocalyptic number.

511020640312 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 511020640312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606641817600).

511020640312 is an abundant number, since it is smaller than the sum of its proper divisors (702262994888).

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

511020640312 is a wasteful number, since it uses less digits than its factorization.

511020640312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143685 (or 143681 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 511020640312 its reverse (213046020115), we get a palindrome (724066660427).

The spelling of 511020640312 in words is "five hundred eleven billion, twenty million, six hundred forty thousand, three hundred twelve".