509825631104 has 128 divisors (see below), whose sum is σ = 1060187184000. Its totient is φ = 243907614720.

The previous prime is 509825631083. The next prime is 509825631109. The reversal of 509825631104 is 401136528905.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509825631109) 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, 253517459 + ... + 253519469.

It is an arithmetic number, because the mean of its divisors is an integer number (8282712375).

Almost surely, 2^509825631104 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 509825631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530093592000).

509825631104 is an abundant number, since it is smaller than the sum of its proper divisors (550361552896).

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

509825631104 is a wasteful number, since it uses less digits than its factorization.

509825631104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 509825631104 in words is "five hundred nine billion, eight hundred twenty-five million, six hundred thirty-one thousand, one hundred four".