512265616152 has 256 divisors, whose sum is σ = 1366386278400. Its totient is φ = 159858316800.

The previous prime is 512265616147. The next prime is 512265616153. The reversal of 512265616152 is 251616562215.

It is a super-2 number, since 2×512265616152² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512265616153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445060777 + ... + 445061927.

It is an arithmetic number, because the mean of its divisors is an integer number (5337446400).

Almost surely, 2^512265616152 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 512265616152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683193139200).

512265616152 is an abundant number, since it is smaller than the sum of its proper divisors (854120662248).

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

512265616152 is a wasteful number, since it uses less digits than its factorization.

512265616152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1434 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The spelling of 512265616152 in words is "five hundred twelve billion, two hundred sixty-five million, six hundred sixteen thousand, one hundred fifty-two".