512121984 has 128 divisors (see below), whose sum is σ = 1532252160. Its totient is φ = 150144000.

The previous prime is 512121983. The next prime is 512122019. The reversal of 512121984 is 489121215.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512121983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128989 + ... + 132899.

It is an arithmetic number, because the mean of its divisors is an integer number (11970720).

Almost surely, 2^512121984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766126080).

512121984 is an abundant number, since it is smaller than the sum of its proper divisors (1020130176).

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

512121984 is a wasteful number, since it uses less digits than its factorization.

512121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3958 counting only the distinct ones).

The product of its digits is 5760, while the sum is 33.

The square root of 512121984 is about 22630.1123284883. The cubic root of 512121984 is about 800.0635282884.

The spelling of 512121984 in words is "five hundred twelve million, one hundred twenty-one thousand, nine hundred eighty-four".