512253130700652 has 384 divisors, whose sum is σ = 1400962590720000. Its totient is φ = 144047660359680.

The previous prime is 512253130700651. The next prime is 512253130700653. The reversal of 512253130700652 is 256007031352215.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (512253130700651) and next prime (512253130700653).

It is not an unprimeable number, because it can be changed into a prime (512253130700651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25111668349 + ... + 25111688747.

It is an arithmetic number, because the mean of its divisors is an integer number (3648340080000).

Almost surely, 2^{512253130700652} 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 512253130700652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700481295360000).

512253130700652 is an abundant number, since it is smaller than the sum of its proper divisors (888709460019348).

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

512253130700652 is a wasteful number, since it uses less digits than its factorization.

512253130700652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21589 (or 21587 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 512253130700652 in words is "five hundred twelve trillion, two hundred fifty-three billion, one hundred thirty million, seven hundred thousand, six hundred fifty-two".