83025052038 has 24 divisors (see below), whose sum is σ = 179937405648. Its totient is φ = 27667356912.

The previous prime is 83025052003. The next prime is 83025052069.

83025052038 is a `hidden beast` number, since 83 + 0 + 2 + 50 + 520 + 3 + 8 = 666.

83025052038 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 83025051993 and 83025052011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571345 + ... + 701772.

It is an arithmetic number, because the mean of its divisors is an integer number (7497391902).

Almost surely, 2^83025052038 is an apocalyptic number.

83025052038 is an abundant number, since it is smaller than the sum of its proper divisors (96912353610).

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

83025052038 is a wasteful number, since it uses less digits than its factorization.

83025052038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276748 (or 1276745 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 830250 and 52038, that added together give a palindrome (882288).

The spelling of 83025052038 in words is "eighty-three billion, twenty-five million, fifty-two thousand, thirty-eight".