531000513465408 has 448 divisors, whose sum is σ = 1807474057912320. Its totient is φ = 149726318137344.

The previous prime is 531000513465379. The next prime is 531000513465421. The reversal of 531000513465408 is 804564315000135.

531000513465408 is a `hidden beast` number, since 5 + 3 + 10 + 0 + 0 + 51 + 3 + 46 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 940435785 + ... + 941000247.

It is an arithmetic number, because the mean of its divisors is an integer number (4034540307840).

Almost surely, 2^{531000513465408} 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 531000513465408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903737028956160).

531000513465408 is an abundant number, since it is smaller than the sum of its proper divisors (1276473544446912).

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

531000513465408 is a wasteful number, since it uses less digits than its factorization.

531000513465408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565511 (or 565495 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 531000513465408 in words is "five hundred thirty-one trillion, five hundred thirteen million, four hundred sixty-five thousand, four hundred eight".