512321610000 has 400 divisors, whose sum is σ = 1704256063488. Its totient is φ = 132480000000.

The previous prime is 512321609999. The next prime is 512321610001. The reversal of 512321610000 is 16123215.

It is an interprime number because it is at equal distance from previous prime (512321609999) and next prime (512321610001).

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (512321610001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 445109425 + ... + 445110575.

Almost surely, 2^512321610000 is an apocalyptic number.

512321610000 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 512321610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852128031744).

512321610000 is an abundant number, since it is smaller than the sum of its proper divisors (1191934453488).

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

512321610000 is a wasteful number, since it uses less digits than its factorization.

512321610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 512321610000 its reverse (16123215), we get a palindrome (512337733215).

The spelling of 512321610000 in words is "five hundred twelve billion, three hundred twenty-one million, six hundred ten thousand".