527131617408 has 144 divisors (see below), whose sum is σ = 1667310576750. Its totient is φ = 159736811520.

The previous prime is 527131617407. The next prime is 527131617457. The reversal of 527131617408 is 804716131725.

527131617408 is a `hidden beast` number, since 5 + 27 + 1 + 3 + 1 + 617 + 4 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 285232901184 + 241898716224 = 534072^2 + 491832^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (527131617407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1751433 + ... + 2030216.

Almost surely, 2^527131617408 is an apocalyptic number.

It is an amenable number.

527131617408 is an abundant number, since it is smaller than the sum of its proper divisors (1140178959342).

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

527131617408 is a wasteful number, since it uses less digits than its factorization.

527131617408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781691 (or 3781665 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 527131617408 in words is "five hundred twenty-seven billion, one hundred thirty-one million, six hundred seventeen thousand, four hundred eight".