513445205700 has 360 divisors, whose sum is σ = 1910165241600. Its totient is φ = 116864778240.

The previous prime is 513445205657. The next prime is 513445205711. The reversal of 513445205700 is 7502544315.

513445205700 is a `hidden beast` number, since 5 + 1 + 3 + 445 + 205 + 7 + 0 + 0 = 666.

513445205700 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13532356 + ... + 13570244.

It is an arithmetic number, because the mean of its divisors is an integer number (5306014560).

Almost surely, 2^513445205700 is an apocalyptic number.

513445205700 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 513445205700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955082620800).

513445205700 is an abundant number, since it is smaller than the sum of its proper divisors (1396720035900).

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

513445205700 is a wasteful number, since it uses less digits than its factorization.

513445205700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38161 (or 38145 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 513445205700 in words is "five hundred thirteen billion, four hundred forty-five million, two hundred five thousand, seven hundred".