512334573072 has 160 divisors (see below), whose sum is σ = 1562517135360. Its totient is φ = 141558036480.

The previous prime is 512334573071. The next prime is 512334573073. The reversal of 512334573072 is 270375433215.

It is an interprime number because it is at equal distance from previous prime (512334573071) and next prime (512334573073).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (512334573071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15180088 + ... + 15213800.

It is an arithmetic number, because the mean of its divisors is an integer number (9765732096).

Almost surely, 2^512334573072 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 512334573072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781258567680).

512334573072 is an abundant number, since it is smaller than the sum of its proper divisors (1050182562288).

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

512334573072 is a wasteful number, since it uses less digits than its factorization.

512334573072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35221 (or 35215 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 42.

The spelling of 512334573072 in words is "five hundred twelve billion, three hundred thirty-four million, five hundred seventy-three thousand, seventy-two".