512530414400 has 42 divisors (see below), whose sum is σ = 1261145154870. Its totient is φ = 205012165120.

The previous prime is 512530414391. The next prime is 512530414421. The reversal of 512530414400 is 4414035215.

It can be written as a sum of positive squares in 3 ways, for example, as 179850631744 + 332679782656 = 424088^2 + 576784^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 160164155 + ... + 160167354.

Almost surely, 2^512530414400 is an apocalyptic number.

512530414400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512530414400 is an abundant number, since it is smaller than the sum of its proper divisors (748614740470).

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

512530414400 is a wasteful number, since it uses less digits than its factorization.

512530414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320331531 (or 320331516 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 512530414400 its reverse (4414035215), we get a palindrome (516944449615).

The spelling of 512530414400 in words is "five hundred twelve billion, five hundred thirty million, four hundred fourteen thousand, four hundred".