249445308025 has 81 divisors (see below), whose sum is σ = 334349854797. Its totient is φ = 184594872000.

The previous prime is 249445307981. The next prime is 249445308029. The reversal of 249445308025 is 520803544942.

The square root of 249445308025 is 499445.

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 46058739769 + 203386568256 = 214613^2 + 450984^2 .

It is not a de Polignac number, because 249445308025 - 2³⁷ = 112006354553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249445308029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2469755475 + ... + 2469755575.

Almost surely, 2^249445308025 is an apocalyptic number.

249445308025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

249445308025 is the 499445-th square number.

249445308025 is the 249723-rd centered octagonal number.

It is an amenable number.

249445308025 is a deficient number, since it is larger than the sum of its proper divisors (84904546772).

249445308025 is an equidigital number, since it uses as much as digits as its factorization.

249445308025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 249445308025 in words is "two hundred forty-nine billion, four hundred forty-five million, three hundred eight thousand, twenty-five".