527957505 has 12 divisors (see below), whose sum is σ = 915126420. Its totient is φ = 281577312.

The previous prime is 527957467. The next prime is 527957513. The reversal of 527957505 is 505759725.

527957505 is a `hidden beast` number, since 5 + 2 + 79 + 575 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 417139776 + 110817729 = 20424^2 + 10527^2 .

It is not a de Polignac number, because 527957505 - 2²⁵ = 494403073 is a prime.

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

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 11732389 = 527957505 / (5 + 2 + 7 + 9 + 5 + 7 + 5 + 0 + 5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5866150 + ... + 5866239.

It is an arithmetic number, because the mean of its divisors is an integer number (76260535).

Almost surely, 2^527957505 is an apocalyptic number.

It is an amenable number.

527957505 is a deficient number, since it is larger than the sum of its proper divisors (387168915).

527957505 is a wasteful number, since it uses less digits than its factorization.

527957505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11732400 (or 11732397 counting only the distinct ones).

The product of its (nonzero) digits is 551250, while the sum is 45.

The square root of 527957505 is about 22977.3258887974. The cubic root of 527957505 is about 808.2263201469.

The spelling of 527957505 in words is "five hundred twenty-seven million, nine hundred fifty-seven thousand, five hundred five".