81125062536 has 256 divisors, whose sum is σ = 245759754240. Its totient is φ = 21815988480.

The previous prime is 81125062511. The next prime is 81125062537. The reversal of 81125062536 is 63526052118.

It is a junction number, because it is equal to n+sod(n) for n = 81125062494 and 81125062503.

It is not an unprimeable number, because it can be changed into a prime (81125062537) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 142075131 + ... + 142075701.

It is an arithmetic number, because the mean of its divisors is an integer number (959999040).

Almost surely, 2^81125062536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81125062536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122879877120).

81125062536 is an abundant number, since it is smaller than the sum of its proper divisors (164634691704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81125062536 is a wasteful number, since it uses less digits than its factorization.

81125062536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 81125062536 in words is "eighty-one billion, one hundred twenty-five million, sixty-two thousand, five hundred thirty-six".