511125206272 has 144 divisors (see below), whose sum is σ = 1052876075328. Its totient is φ = 247504158720.

The previous prime is 511125206261. The next prime is 511125206279. The reversal of 511125206272 is 272602521115.

It is a super-2 number, since 2×511125206272² (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 (511125206279) 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, 1153781283 + ... + 1153781725.

It is an arithmetic number, because the mean of its divisors is an integer number (7311639412).

Almost surely, 2^511125206272 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 511125206272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526438037664).

511125206272 is an abundant number, since it is smaller than the sum of its proper divisors (541750869056).

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

511125206272 is a wasteful number, since it uses less digits than its factorization.

511125206272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

Adding to 511125206272 its reverse (272602521115), we get a palindrome (783727727387).

The spelling of 511125206272 in words is "five hundred eleven billion, one hundred twenty-five million, two hundred six thousand, two hundred seventy-two".