513403517550 has 192 divisors, whose sum is σ = 1588014503424. Its totient is φ = 106641100800.

The previous prime is 513403517479. The next prime is 513403517579. The reversal of 513403517550 is 55715304315.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 513403517499 and 513403517508.

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, 38258442 + ... + 38271858.

It is an arithmetic number, because the mean of its divisors is an integer number (8270908872).

Almost surely, 2^513403517550 is an apocalyptic number.

513403517550 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 513403517550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794007251712).

513403517550 is an abundant number, since it is smaller than the sum of its proper divisors (1074610985874).

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

513403517550 is a wasteful number, since it uses less digits than its factorization.

513403517550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16763 (or 16758 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 39.

The spelling of 513403517550 in words is "five hundred thirteen billion, four hundred three million, five hundred seventeen thousand, five hundred fifty".