81825612101 has 16 divisors (see below), whose sum is σ = 82863813120. Its totient is φ = 80793262080.

The previous prime is 81825612091. The next prime is 81825612103. The reversal of 81825612101 is 10121652818.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-81825612101 is a prime.

It is a super-4 number, since 4×81825612101⁴ (a number of 45 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81825612103) 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 15 ways as a sum of consecutive naturals, for example, 57501476 + ... + 57502898.

It is an arithmetic number, because the mean of its divisors is an integer number (5178988320).

Almost surely, 2^81825612101 is an apocalyptic number.

It is an amenable number.

81825612101 is a deficient number, since it is larger than the sum of its proper divisors (1038201019).

81825612101 is a wasteful number, since it uses less digits than its factorization.

81825612101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996.

The product of its (nonzero) digits is 7680, while the sum is 35.

The spelling of 81825612101 in words is "eighty-one billion, eight hundred twenty-five million, six hundred twelve thousand, one hundred one".