551823264 has 144 divisors (see below), whose sum is σ = 1702701000. Its totient is φ = 168837120.

The previous prime is 551823241. The next prime is 551823299. The reversal of 551823264 is 462328155.

551823264 is a `hidden beast` number, since 551 + 82 + 3 + 26 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 299013264 + 252810000 = 17292^2 + 15900^2 .

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

It is a super-2 number, since 2×551823264² = 609017829383227392, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199362 + ... + 202110.

Almost surely, 2^551823264 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 551823264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851350500).

551823264 is an abundant number, since it is smaller than the sum of its proper divisors (1150877736).

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

551823264 is a wasteful number, since it uses less digits than its factorization.

551823264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2812 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 551823264 is about 23490.9187559789. The cubic root of 551823264 is about 820.2256289678.

It can be divided in two parts, 5518 and 23264, that added together give a palindrome (28782).

The spelling of 551823264 in words is "five hundred fifty-one million, eight hundred twenty-three thousand, two hundred sixty-four".