509775552 has 224 divisors, whose sum is σ = 1761500160. Its totient is φ = 142525440.

The previous prime is 509775533. The next prime is 509775559. The reversal of 509775552 is 255577905.

509775552 is a `hidden beast` number, since 5 + 0 + 97 + 7 + 5 + 552 = 666.

It is a super-2 number, since 2×509775552² = 519742226833809408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 509775498 and 509775507.

It is not an unprimeable number, because it can be changed into a prime (509775559) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 246073 + ... + 248135.

It is an arithmetic number, because the mean of its divisors is an integer number (7863840).

Almost surely, 2^509775552 is an apocalyptic number.

509775552 is a gapful number since it is divisible by the number (52) 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 509775552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880750080).

509775552 is an abundant number, since it is smaller than the sum of its proper divisors (1251724608).

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

509775552 is a wasteful number, since it uses less digits than its factorization.

509775552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 551250, while the sum is 45.

The square root of 509775552 is about 22578.2096721596. The cubic root of 509775552 is about 798.8397514259.

The spelling of 509775552 in words is "five hundred nine million, seven hundred seventy-five thousand, five hundred fifty-two".