513633100050 has 192 divisors, whose sum is σ = 1618539264000. Its totient is φ = 117329083200.

The previous prime is 513633100037. The next prime is 513633100087. The reversal of 513633100050 is 50001336315.

513633100050 is a `hidden beast` number, since 5 + 13 + 633 + 10 + 0 + 0 + 5 + 0 = 666.

It is a super-2 number, since 2×513633100050² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 513633099987 and 513633100023.

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, 16039555 + ... + 16071545.

It is an arithmetic number, because the mean of its divisors is an integer number (8429892000).

Almost surely, 2^513633100050 is an apocalyptic number.

513633100050 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 513633100050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809269632000).

513633100050 is an abundant number, since it is smaller than the sum of its proper divisors (1104906163950).

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

513633100050 is a wasteful number, since it uses less digits than its factorization.

513633100050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33718 (or 33707 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 513633100050 its reverse (50001336315), we get a palindrome (563634436365).

The spelling of 513633100050 in words is "five hundred thirteen billion, six hundred thirty-three million, one hundred thousand, fifty".