513354123112500 has 864 divisors, whose sum is σ = 1677140774120448. Its totient is φ = 132324192000000.

The previous prime is 513354123112459. The next prime is 513354123112547. The reversal of 513354123112500 is 5211321453315.

It is a happy number.

513354123112500 is a `hidden beast` number, since 5 + 1 + 3 + 35 + 4 + 1 + 2 + 3 + 112 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 239549286429 + ... + 239549288571.

It is an arithmetic number, because the mean of its divisors is an integer number (1941135155232).

Almost surely, 2^{513354123112500} is an apocalyptic number.

513354123112500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513354123112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838570387060224).

513354123112500 is an abundant number, since it is smaller than the sum of its proper divisors (1163786651007948).

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

513354123112500 is a wasteful number, since it uses less digits than its factorization.

513354123112500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 513354123112500 its reverse (5211321453315), we get a palindrome (518565444565815).

The spelling of 513354123112500 in words is "five hundred thirteen trillion, three hundred fifty-four billion, one hundred twenty-three million, one hundred twelve thousand, five hundred".