513424150040550 has 192 divisors, whose sum is σ = 1465641673357824. Its totient is φ = 116514289382400.

The previous prime is 513424150040537. The next prime is 513424150040573. The reversal of 513424150040550 is 55040051424315.

It is a super-2 number, since 2×513424150040550² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 513424150040499 and 513424150040508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78587829 + ... + 84869871.

It is an arithmetic number, because the mean of its divisors is an integer number (7633550382072).

Almost surely, 2^{513424150040550} is an apocalyptic number.

513424150040550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 513424150040550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732820836678912).

513424150040550 is an abundant number, since it is smaller than the sum of its proper divisors (952217523317274).

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

513424150040550 is a wasteful number, since it uses less digits than its factorization.

513424150040550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6282623 (or 6282618 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

The spelling of 513424150040550 in words is "five hundred thirteen trillion, four hundred twenty-four billion, one hundred fifty million, forty thousand, five hundred fifty".