512540535040 has 72 divisors (see below), whose sum is σ = 1228037820408. Its totient is φ = 204958924800.

The previous prime is 512540535007. The next prime is 512540535053. The reversal of 512540535040 is 40535045215.

It can be written as a sum of positive squares in 4 ways, for example, as 35380105216 + 477160429824 = 188096^2 + 690768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 512540534987 and 512540535005.

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, 4683184 + ... + 4791376.

It is an arithmetic number, because the mean of its divisors is an integer number (17056080839).

Almost surely, 2^512540535040 is an apocalyptic number.

It is an amenable number.

512540535040 is an abundant number, since it is smaller than the sum of its proper divisors (715497285368).

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

512540535040 is a wasteful number, since it uses less digits than its factorization.

512540535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111915 (or 111901 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 34.

The spelling of 512540535040 in words is "five hundred twelve billion, five hundred forty million, five hundred thirty-five thousand, forty".