4991269833225 has 567 divisors, whose sum is σ = 10765568031813. Its totient is φ = 2293167127680.

The previous prime is 4991269833181. The next prime is 4991269833227. The reversal of 4991269833225 is 5223389621994.

The square root of 4991269833225 is 2234115.

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

4991269833225 is a `hidden beast` number, since 4 + 99 + 126 + 98 + 332 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1286507183049 + 3704762650176 = 1134243^2 + 1924776^2 .

It is not a de Polignac number, because 4991269833225 - 2⁹ = 4991269832713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4991269833227) by changing a digit.

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 566 ways as a sum of consecutive naturals, for example, 74496564642 + ... + 74496564708.

Almost surely, 2^{4991269833225} is an apocalyptic number.

4991269833225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4991269833225 is the 2234115-th square number.

4991269833225 is the 1117058-th centered octagonal number.

It is an amenable number.

4991269833225 is an abundant number, since it is smaller than the sum of its proper divisors (5774298198588).

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

4991269833225 is an equidigital number, since it uses as much as digits as its factorization.

4991269833225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 107 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 4991269833225 in words is "four trillion, nine hundred ninety-one billion, two hundred sixty-nine million, eight hundred thirty-three thousand, two hundred twenty-five".