512021055000 has 1280 divisors, whose sum is σ = 2104030494720. Its totient is φ = 100843776000.

The previous prime is 512021054971. The next prime is 512021055011. The reversal of 512021055000 is 550120215.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1475564827 + ... + 1475565173.

It is an arithmetic number, because the mean of its divisors is an integer number (1643773824).

Almost surely, 2^512021055000 is an apocalyptic number.

512021055000 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 512021055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052015247360).

512021055000 is an abundant number, since it is smaller than the sum of its proper divisors (1592009439720).

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

512021055000 is a wasteful number, since it uses less digits than its factorization.

512021055000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

Adding to 512021055000 its reverse (550120215), we get a palindrome (512571175215).

The spelling of 512021055000 in words is "five hundred twelve billion, twenty-one million, fifty-five thousand".