513247558050 has 144 divisors (see below), whose sum is σ = 1396386063072. Its totient is φ = 135141350400.

The previous prime is 513247558013. The next prime is 513247558073. The reversal of 513247558050 is 50855742315.

513247558050 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 47 + 558 + 0 + 50 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 513247557987 and 513247558005.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14764690 + ... + 14799410.

It is an arithmetic number, because the mean of its divisors is an integer number (9697125438).

Almost surely, 2^513247558050 is an apocalyptic number.

513247558050 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 513247558050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698193031536).

513247558050 is an abundant number, since it is smaller than the sum of its proper divisors (883138505022).

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

513247558050 is a wasteful number, since it uses less digits than its factorization.

513247558050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35153 (or 35145 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 513247558050 in words is "five hundred thirteen billion, two hundred forty-seven million, five hundred fifty-eight thousand, fifty".