511216000 has 128 divisors (see below), whose sum is σ = 1288872000. Its totient is φ = 201625600.

The previous prime is 511215989. The next prime is 511216001. The reversal of 511216000 is 612115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×511216000² = 522683597312000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511216001) 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, 1423821 + ... + 1424179.

Almost surely, 2^511216000 is an apocalyptic number.

511216000 is a gapful number since it is divisible by the number (50) 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 511216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644436000).

511216000 is an abundant number, since it is smaller than the sum of its proper divisors (777656000).

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

511216000 is an equidigital number, since it uses as much as digits as its factorization.

511216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 511216000 is about 22610.0862448598. The cubic root of 511216000 is about 799.5914580690.

Adding to 511216000 its reverse (612115), we get a palindrome (511828115).

It can be divided in two parts, 51121 and 6000, that added together give a square (57121 = 239²).

The spelling of 511216000 in words is "five hundred eleven million, two hundred sixteen thousand".