83010253225 has 27 divisors (see below), whose sum is σ = 106658189157. Its totient is φ = 64085995680.

The previous prime is 83010253199. The next prime is 83010253231. The reversal of 83010253225 is 52235201038.

The square root of 83010253225 is 288115.

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 1141020841 + 81869232384 = 33779^2 + 286128^2 .

It is not a de Polignac number, because 83010253225 - 2¹³ = 83010245033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41775682 + ... + 41777668.

Almost surely, 2^83010253225 is an apocalyptic number.

83010253225 is the 288115-th square number.

83010253225 is the 144058-th centered octagonal number.

It is an amenable number.

83010253225 is a deficient number, since it is larger than the sum of its proper divisors (23647935932).

83010253225 is an frugal number, since it uses more digits than its factorization.

83010253225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 83010253225 in words is "eighty-three billion, ten million, two hundred fifty-three thousand, two hundred twenty-five".