509106052 has 48 divisors (see below), whose sum is σ = 1107917440. Its totient is φ = 199314432.

The previous prime is 509106047. The next prime is 509106053. The reversal of 509106052 is 250601905.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 509106052.

It is not an unprimeable number, because it can be changed into a prime (509106053) 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, 28099 + ... + 42517.

Almost surely, 2^509106052 is an apocalyptic number.

509106052 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 509106052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553958720).

509106052 is an abundant number, since it is smaller than the sum of its proper divisors (598811388).

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

509106052 is a wasteful number, since it uses less digits than its factorization.

509106052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14540 (or 14538 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 509106052 is about 22563.3785590722. The cubic root of 509106052 is about 798.4898866574.

Adding to 509106052 its reverse (250601905), we get a palindrome (759707957).

The spelling of 509106052 in words is "five hundred nine million, one hundred six thousand, fifty-two".