83203402500 has 225 divisors, whose sum is σ = 272225345161. Its totient is φ = 22152960000.

The previous prime is 83203402483. The next prime is 83203402511. The reversal of 83203402500 is 520430238.

The square root of 83203402500 is 288450.

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

83203402500 is a `hidden beast` number, since 8 + 3 + 203 + 402 + 50 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 26612701956 + 56590700544 = 163134^2 + 237888^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

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 74 ways as a sum of consecutive naturals, for example, 129802180 + ... + 129802820.

Almost surely, 2^83203402500 is an apocalyptic number.

83203402500 is the 288450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83203402500

83203402500 is an abundant number, since it is smaller than the sum of its proper divisors (189021942661).

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

83203402500 is an frugal number, since it uses more digits than its factorization.

83203402500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 83203402500 its reverse (520430238), we get a palindrome (83723832738).

The spelling of 83203402500 in words is "eighty-three billion, two hundred three million, four hundred two thousand, five hundred".