512441134000 has 160 divisors (see below), whose sum is σ = 1305335828160. Its totient is φ = 194033664000.

The previous prime is 512441133907. The next prime is 512441134001. The reversal of 512441134000 is 431144215.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (512441134001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55209360 + ... + 55218640.

It is an arithmetic number, because the mean of its divisors is an integer number (8158348926).

Almost surely, 2^512441134000 is an apocalyptic number.

512441134000 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 512441134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652667914080).

512441134000 is an abundant number, since it is smaller than the sum of its proper divisors (792894694160).

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

512441134000 is a wasteful number, since it uses less digits than its factorization.

512441134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10776 (or 10760 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 512441134000 its reverse (431144215), we get a palindrome (512872278215).

The spelling of 512441134000 in words is "five hundred twelve billion, four hundred forty-one million, one hundred thirty-four thousand".