507213502045200 has 360 divisors, whose sum is σ = 1865959589637000. Its totient is φ = 127147071651840.

The previous prime is 507213502045157. The next prime is 507213502045253. The reversal of 507213502045200 is 2540205312705.

507213502045200 is a `hidden beast` number, since 5 + 0 + 72 + 13 + 50 + 2 + 0 + 4 + 520 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 148379587005456 + 358833915039744 = 12181116^2 + 18942912^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×507213502045200² (a number of 30 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 45736126 + ... + 55733474.

It is an arithmetic number, because the mean of its divisors is an integer number (5183221082325).

Almost surely, 2^{507213502045200} is an apocalyptic number.

507213502045200 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 507213502045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932979794818500).

507213502045200 is an abundant number, since it is smaller than the sum of its proper divisors (1358746087591800).

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

507213502045200 is a wasteful number, since it uses less digits than its factorization.

507213502045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9998219 (or 9998205 counting only the distinct ones).

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

Adding to 507213502045200 its reverse (2540205312705), we get a palindrome (509753707357905).

The spelling of 507213502045200 in words is "five hundred seven trillion, two hundred thirteen billion, five hundred two million, forty-five thousand, two hundred".