130824567 has 12 divisors (see below), whose sum is σ = 189184320. Its totient is φ = 87116928.

The previous prime is 130824527. The next prime is 130824569. The reversal of 130824567 is 765428031.

130824567 is a `hidden beast` number, since 13 + 0 + 82 + 4 + 567 = 666.

It is not a de Polignac number, because 130824567 - 2⁸ = 130824311 is a prime.

It is a super-3 number, since 3×130824567³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130824569) 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 11 ways as a sum of consecutive naturals, for example, 538 + ... + 16184.

It is an arithmetic number, because the mean of its divisors is an integer number (15765360).

Almost surely, 2^130824567 is an apocalyptic number.

130824567 is a deficient number, since it is larger than the sum of its proper divisors (58359753).

130824567 is a wasteful number, since it uses less digits than its factorization.

130824567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16582 (or 16579 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 130824567 is about 11437.8567485347. The cubic root of 130824567 is about 507.6484938403.

The spelling of 130824567 in words is "one hundred thirty million, eight hundred twenty-four thousand, five hundred sixty-seven".