509066991972 has 192 divisors, whose sum is σ = 1647481006080. Its totient is φ = 132063523200.

The previous prime is 509066991893. The next prime is 509066992081. The reversal of 509066991972 is 279199660905.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6840322 + ... + 6914342.

It is an arithmetic number, because the mean of its divisors is an integer number (8580630240).

Almost surely, 2^509066991972 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 509066991972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823740503040).

509066991972 is an abundant number, since it is smaller than the sum of its proper divisors (1138414014108).

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

509066991972 is a wasteful number, since it uses less digits than its factorization.

509066991972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74879 (or 74871 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 63.

The spelling of 509066991972 in words is "five hundred nine billion, sixty-six million, nine hundred ninety-one thousand, nine hundred seventy-two".