519006984054 has 64 divisors (see below), whose sum is σ = 1137069722880. Its totient is φ = 156954453120.

The previous prime is 519006984053. The next prime is 519006984079. The reversal of 519006984054 is 450489600915.

It is a junction number, because it is equal to n+sod(n) for n = 519006983988 and 519006984006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (519006984053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6176977 + ... + 6260435.

It is an arithmetic number, because the mean of its divisors is an integer number (17766714420).

Almost surely, 2^519006984054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 519006984054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568534861440).

519006984054 is an abundant number, since it is smaller than the sum of its proper divisors (618062738826).

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

519006984054 is a wasteful number, since it uses less digits than its factorization.

519006984054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84845.

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 519006984054 in words is "five hundred nineteen billion, six million, nine hundred eighty-four thousand, fifty-four".