512135453624064 has 288 divisors, whose sum is σ = 1419955663633920. Its totient is φ = 163666124783616.

The previous prime is 512135453624033. The next prime is 512135453624131. The reversal of 512135453624064 is 460426354531215.

It is a junction number, because it is equal to n+sod(n) for n = 512135453623998 and 512135453624016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5325432109 + ... + 5325528275.

It is an arithmetic number, because the mean of its divisors is an integer number (4930401609840).

Almost surely, 2^{512135453624064} 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 512135453624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709977831816960).

512135453624064 is an abundant number, since it is smaller than the sum of its proper divisors (907820210009856).

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

512135453624064 is a wasteful number, since it uses less digits than its factorization.

512135453624064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97895 (or 97881 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 51.

The spelling of 512135453624064 in words is "five hundred twelve trillion, one hundred thirty-five billion, four hundred fifty-three million, six hundred twenty-four thousand, sixty-four".