511221913272 has 512 divisors, whose sum is σ = 1754007552000. Its totient is φ = 134699604480.

The previous prime is 511221913207. The next prime is 511221913289. The reversal of 511221913272 is 272319122115.

511221913272 is a `hidden beast` number, since 5 + 112 + 219 + 1 + 327 + 2 = 666.

It is a super-2 number, since 2×511221913272² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 520062493 + ... + 520063475.

It is an arithmetic number, because the mean of its divisors is an integer number (3425796000).

Almost surely, 2^511221913272 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 511221913272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877003776000).

511221913272 is an abundant number, since it is smaller than the sum of its proper divisors (1242785638728).

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

511221913272 is a wasteful number, since it uses less digits than its factorization.

511221913272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1478 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The spelling of 511221913272 in words is "five hundred eleven billion, two hundred twenty-one million, nine hundred thirteen thousand, two hundred seventy-two".