527385441 has 32 divisors (see below), whose sum is σ = 820205568. Its totient is φ = 297872640.

The previous prime is 527385409. The next prime is 527385479. The reversal of 527385441 is 144583725.

It is not a de Polignac number, because 527385441 - 2⁵ = 527385409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 527385441.

It is not an unprimeable number, because it can be changed into a prime (527385041) 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 31 ways as a sum of consecutive naturals, for example, 53220 + ... + 62346.

It is an arithmetic number, because the mean of its divisors is an integer number (25631424).

Almost surely, 2^527385441 is an apocalyptic number.

527385441 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

527385441 is a deficient number, since it is larger than the sum of its proper divisors (292820127).

527385441 is a wasteful number, since it uses less digits than its factorization.

527385441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9261.

The product of its digits is 134400, while the sum is 39.

The square root of 527385441 is about 22964.8740688905. The cubic root of 527385441 is about 807.9342989948.

The spelling of 527385441 in words is "five hundred twenty-seven million, three hundred eighty-five thousand, four hundred forty-one".