511225344 has 240 divisors, whose sum is σ = 1751637888. Its totient is φ = 145815552.

The previous prime is 511225339. The next prime is 511225357. The reversal of 511225344 is 443522115.

511225344 is a `hidden beast` number, since 5 + 1 + 122 + 534 + 4 = 666.

It is a super-2 number, since 2×511225344² = 522702704695836672, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870619 + ... + 871205.

Almost surely, 2^511225344 is an apocalyptic number.

511225344 is a gapful number since it is divisible by the number (54) 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 511225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875818944).

511225344 is an abundant number, since it is smaller than the sum of its proper divisors (1240412544).

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

511225344 is an frugal number, since it uses more digits than its factorization.

511225344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 599 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 511225344 is about 22610.2928773601. The cubic root of 511225344 is about 799.5963296804.

Adding to 511225344 its reverse (443522115), we get a palindrome (954747459).

It can be divided in two parts, 51 and 1225344, that added together give a triangular number (1225395 = T₁₅₆₅).

The spelling of 511225344 in words is "five hundred eleven million, two hundred twenty-five thousand, three hundred forty-four".