519331322952 has 324 divisors, whose sum is σ = 1567409276745. Its totient is φ = 155269236096.

The previous prime is 519331322947. The next prime is 519331322969. The reversal of 519331322952 is 259223133915.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

519331322952 is a `hidden beast` number, since 519 + 3 + 31 + 32 + 29 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 444043645956 + 75287676996 = 666366^2 + 274386^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=509574.

It is a junction number, because it is equal to n+sod(n) for n = 519331322898 and 519331322907.

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 80 ways as a sum of consecutive naturals, for example, 3736196499 + ... + 3736196637.

Almost surely, 2^519331322952 is an apocalyptic number.

519331322952 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 519331322952

519331322952 is an abundant number, since it is smaller than the sum of its proper divisors (1048077953793).

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

519331322952 is a wasteful number, since it uses less digits than its factorization.

519331322952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 204 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The spelling of 519331322952 in words is "five hundred nineteen billion, three hundred thirty-one million, three hundred twenty-two thousand, nine hundred fifty-two".