82257485352 has 128 divisors (see below), whose sum is σ = 236359157760. Its totient is φ = 23368723200.

The previous prime is 82257485347. The next prime is 82257485357. The reversal of 82257485352 is 25358475228.

It is an interprime number because it is at equal distance from previous prime (82257485347) and next prime (82257485357).

It is a junction number, because it is equal to n+sod(n) for n = 82257485295 and 82257485304.

It is not an unprimeable number, because it can be changed into a prime (82257485357) 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 31 ways as a sum of consecutive naturals, for example, 28850727 + ... + 28853577.

It is an arithmetic number, because the mean of its divisors is an integer number (1846555920).

Almost surely, 2^82257485352 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 82257485352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118179578880).

82257485352 is an abundant number, since it is smaller than the sum of its proper divisors (154101672408).

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

82257485352 is a wasteful number, since it uses less digits than its factorization.

82257485352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783 (or 3779 counting only the distinct ones).

The product of its digits is 5376000, while the sum is 51.

The spelling of 82257485352 in words is "eighty-two billion, two hundred fifty-seven million, four hundred eighty-five thousand, three hundred fifty-two".