511272216 has 384 divisors, whose sum is σ = 1891008000. Its totient is φ = 124291584.

The previous prime is 511272149. The next prime is 511272241. The reversal of 511272216 is 612272115.

It is a super-2 number, since 2×511272216² = 522798557707101312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 511272216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13818150 + ... + 13818186.

It is an arithmetic number, because the mean of its divisors is an integer number (4924500).

Almost surely, 2^511272216 is an apocalyptic number.

511272216 is a gapful number since it is divisible by the number (56) 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 511272216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945504000).

511272216 is an abundant number, since it is smaller than the sum of its proper divisors (1379735784).

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

511272216 is a wasteful number, since it uses less digits than its factorization.

511272216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 81 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 511272216 is about 22611.3293726840. The cubic root of 511272216 is about 799.6207660888.

The spelling of 511272216 in words is "five hundred eleven million, two hundred seventy-two thousand, two hundred sixteen".