527905413 has 48 divisors (see below), whose sum is σ = 895198720. Its totient is φ = 293559552.

The previous prime is 527905379. The next prime is 527905423. The reversal of 527905413 is 314509725.

527905413 is a `hidden beast` number, since 5 + 27 + 90 + 541 + 3 = 666.

It is not a de Polignac number, because 527905413 - 2⁶ = 527905349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527905423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362595 + ... + 364047.

Almost surely, 2^527905413 is an apocalyptic number.

It is an amenable number.

527905413 is a deficient number, since it is larger than the sum of its proper divisors (367293307).

527905413 is a wasteful number, since it uses less digits than its factorization.

527905413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 527905413 is about 22976.1923085615. The cubic root of 527905413 is about 808.1997375086.

The spelling of 527905413 in words is "five hundred twenty-seven million, nine hundred five thousand, four hundred thirteen".