512131505435040 has 48 divisors (see below), whose sum is σ = 1613214242121888. Its totient is φ = 136568401449216.

The previous prime is 512131505434981. The next prime is 512131505435149. The reversal of 512131505435040 is 40534505131215.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 512131505435040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 533470317682 + ... + 533470318641.

It is an arithmetic number, because the mean of its divisors is an integer number (33608630044206).

Almost surely, 2^{512131505435040} is an apocalyptic number.

It is an amenable number.

512131505435040 is an abundant number, since it is smaller than the sum of its proper divisors (1101082736686848).

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

512131505435040 is a wasteful number, since it uses less digits than its factorization.

512131505435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066940636341 (or 1066940636333 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 512131505435040 in words is "five hundred twelve trillion, one hundred thirty-one billion, five hundred five million, four hundred thirty-five thousand, forty".