513162542550 has 144 divisors (see below), whose sum is σ = 1481763678912. Its totient is φ = 117187963200.

The previous prime is 513162542513. The next prime is 513162542687. The reversal of 513162542550 is 55245261315.

It is a junction number, because it is equal to n+sod(n) for n = 513162542499 and 513162542508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8222965 + ... + 8285135.

It is an arithmetic number, because the mean of its divisors is an integer number (10290025548).

Almost surely, 2^513162542550 is an apocalyptic number.

513162542550 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 513162542550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740881839456).

513162542550 is an abundant number, since it is smaller than the sum of its proper divisors (968601136362).

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

513162542550 is a wasteful number, since it uses less digits than its factorization.

513162542550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63323 (or 63311 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 513162542550 in words is "five hundred thirteen billion, one hundred sixty-two million, five hundred forty-two thousand, five hundred fifty".