83052500 has 60 divisors (see below), whose sum is σ = 183691200. Its totient is φ = 32844000.

The previous prime is 83052469. The next prime is 83052509. The reversal of 83052500 is 525038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83052509) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 347381 + ... + 347619.

It is an arithmetic number, because the mean of its divisors is an integer number (3061520).

Almost surely, 2^83052500 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 83052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91845600).

83052500 is an abundant number, since it is smaller than the sum of its proper divisors (100638700).

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

83052500 is a wasteful number, since it uses less digits than its factorization.

83052500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 83052500 is about 9113.3144354839. The cubic root of 83052500 is about 436.2990191303.

Adding to 83052500 its reverse (525038), we get a palindrome (83577538).

The spelling of 83052500 in words is "eighty-three million, fifty-two thousand, five hundred".