83826750933025 has 27 divisors (see below), whose sum is σ = 107408223095673. Its totient is φ = 64897031071200.

The previous prime is 83826750932987. The next prime is 83826750933043. The reversal of 83826750933025 is 52033905762838.

It is a happy number.

The square root of 83826750933025 is 9155695.

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 1357395095329 + 82469355837696 = 1165073^2 + 9081264^2 .

It is a de Polignac number, because none of the positive numbers 2^k-83826750933025 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1419103191 + ... + 1419162259.

Almost surely, 2^{83826750933025} is an apocalyptic number.

83826750933025 is the 9155695-th square number.

83826750933025 is the 4577848-th centered octagonal number.

It is an amenable number.

83826750933025 is a deficient number, since it is larger than the sum of its proper divisors (23581472162648).

83826750933025 is an frugal number, since it uses more digits than its factorization.

83826750933025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118210 (or 59105 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 61.

The spelling of 83826750933025 in words is "eighty-three trillion, eight hundred twenty-six billion, seven hundred fifty million, nine hundred thirty-three thousand, twenty-five".