509102412 has 192 divisors, whose sum is σ = 1526805504. Its totient is φ = 128471040.

The previous prime is 509102411. The next prime is 509102431. The reversal of 509102412 is 214201905.

It is a super-3 number, since 3×509102412³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (509102411) 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 63 ways as a sum of consecutive naturals, for example, 3716008 + ... + 3716144.

It is an arithmetic number, because the mean of its divisors is an integer number (7952112).

Almost surely, 2^509102412 is an apocalyptic number.

509102412 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 509102412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763402752).

509102412 is an abundant number, since it is smaller than the sum of its proper divisors (1017703092).

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

509102412 is a wasteful number, since it uses less digits than its factorization.

509102412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 509102412 is about 22563.2978972490. The cubic root of 509102412 is about 798.4879836419.

The spelling of 509102412 in words is "five hundred nine million, one hundred two thousand, four hundred twelve".