509094276930 has 160 divisors (see below), whose sum is σ = 1414717843968. Its totient is φ = 131224665600.

The previous prime is 509094276923. The next prime is 509094276931. The reversal of 509094276930 is 39672490905.

509094276930 is a `hidden beast` number, since 509 + 0 + 9 + 42 + 7 + 6 + 93 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (509094276931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22160650 + ... + 22183610.

Almost surely, 2^509094276930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509094276930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707358921984).

509094276930 is an abundant number, since it is smaller than the sum of its proper divisors (905623567038).

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

509094276930 is a wasteful number, since it uses less digits than its factorization.

509094276930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23894 (or 23885 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 509094276930 in words is "five hundred nine billion, ninety-four million, two hundred seventy-six thousand, nine hundred thirty".