82254890952 has 96 divisors (see below), whose sum is σ = 241520643000. Its totient is φ = 25139294208.

The previous prime is 82254890951. The next prime is 82254891001. The reversal of 82254890952 is 25909845228.

It is a happy number.

82254890952 is a `hidden beast` number, since 8 + 2 + 2 + 548 + 9 + 0 + 95 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16797715236 + 65457175716 = 129606^2 + 255846^2 .

It is a super-3 number, since 3×82254890952³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (82254890951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155433 + ... + 434360.

Almost surely, 2^82254890952 is an apocalyptic number.

It is an amenable number.

82254890952 is an abundant number, since it is smaller than the sum of its proper divisors (159265752048).

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

82254890952 is a wasteful number, since it uses less digits than its factorization.

82254890952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589967 (or 589960 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 82254890952 in words is "eighty-two billion, two hundred fifty-four million, eight hundred ninety thousand, nine hundred fifty-two".