82531950810 has 128 divisors (see below), whose sum is σ = 205994638080. Its totient is φ = 21147033600.

The previous prime is 82531950797. The next prime is 82531950811. The reversal of 82531950810 is 1805913528.

It is a super-2 number, since 2×82531950810² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82531950811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30759729 + ... + 30762411.

It is an arithmetic number, because the mean of its divisors is an integer number (1609333110).

Almost surely, 2^82531950810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82531950810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102997319040).

82531950810 is an abundant number, since it is smaller than the sum of its proper divisors (123462687270).

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

82531950810 is a wasteful number, since it uses less digits than its factorization.

82531950810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104.

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 82531950810 in words is "eighty-two billion, five hundred thirty-one million, nine hundred fifty thousand, eight hundred ten".