82257825552100 has 243 divisors, whose sum is σ = 201204090895899. Its totient is φ = 29167865760000.

The previous prime is 82257825552079. The next prime is 82257825552107. The reversal of 82257825552100 is 125552875228.

The square root of 82257825552100 is 9069610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 34623644882596 + 47634180669504 = 5884186^2 + 6901752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82257825552107) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40903940095 + ... + 40903942105.

Almost surely, 2^{82257825552100} is an apocalyptic number.

82257825552100 is the 9069610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82257825552100

82257825552100 is an abundant number, since it is smaller than the sum of its proper divisors (118946265343799).

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

82257825552100 is a wasteful number, since it uses less digits than its factorization.

82257825552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 4480000, while the sum is 52.

The spelling of 82257825552100 in words is "eighty-two trillion, two hundred fifty-seven billion, eight hundred twenty-five million, five hundred fifty-two thousand, one hundred".