81830511 has 48 divisors (see below), whose sum is σ = 143520000. Its totient is φ = 43887744.

The previous prime is 81830477. The next prime is 81830521. The reversal of 81830511 is 11503818.

It is not a de Polignac number, because 81830511 - 2⁹ = 81829999 is a prime.

It is a super-2 number, since 2×81830511² = 13392465061042242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81830521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163740 + ... + 164238.

It is an arithmetic number, because the mean of its divisors is an integer number (2990000).

Almost surely, 2^81830511 is an apocalyptic number.

81830511 is a deficient number, since it is larger than the sum of its proper divisors (61689489).

81830511 is a wasteful number, since it uses less digits than its factorization.

81830511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 81830511 is about 9046.0218328280. The cubic root of 81830511 is about 434.1486161661.

It can be divided in two parts, 818 and 30511, that added together give a square (31329 = 177²).

The spelling of 81830511 in words is "eighty-one million, eight hundred thirty thousand, five hundred eleven".