511196256 has 144 divisors (see below), whose sum is σ = 1548971424. Its totient is φ = 159363072.

The previous prime is 511196251. The next prime is 511196261. The reversal of 511196256 is 652691115.

511196256 is a `hidden beast` number, since 5 + 11 + 19 + 625 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (511196251) and next prime (511196261).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×511196256² = 522643224296835072, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 511196256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511196251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287450 + ... + 1287846.

It is an arithmetic number, because the mean of its divisors is an integer number (10756746).

Almost surely, 2^511196256 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 511196256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774485712).

511196256 is an abundant number, since it is smaller than the sum of its proper divisors (1037775168).

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

511196256 is a wasteful number, since it uses less digits than its factorization.

511196256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 511196256 is about 22609.6496213453. The cubic root of 511196256 is about 799.5811640922.

It can be divided in two parts, 51119 and 6256, that added together give a palindrome (57375).

The spelling of 511196256 in words is "five hundred eleven million, one hundred ninety-six thousand, two hundred fifty-six".