512050890624 has 384 divisors, whose sum is σ = 1706375976480. Its totient is φ = 134850723840.

The previous prime is 512050890613. The next prime is 512050890629. The reversal of 512050890624 is 426098050215.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×512050890624² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512050890629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259528102 + ... + 259530074.

Almost surely, 2^512050890624 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 512050890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853187988240).

512050890624 is an abundant number, since it is smaller than the sum of its proper divisors (1194325085856).

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

512050890624 is a wasteful number, since it uses less digits than its factorization.

512050890624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 512050890624 in words is "five hundred twelve billion, fifty million, eight hundred ninety thousand, six hundred twenty-four".