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725812025 = 52171978669
BaseRepresentation
bin101011010000110…
…000001100111001
31212120202001220212
4223100300030321
52441301441100
6200004400505
723662205021
oct5320601471
91776661825
10725812025
1134277a354
121830a6135
13b74a9093
146c576a81
1543ac0635
hex2b430339

725812025 has 24 divisors (see below), whose sum is σ = 957896280. Its totient is φ = 543656960.

The previous prime is 725812013. The next prime is 725812037. The reversal of 725812025 is 520218527.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (725812013) and next prime (725812037).

It can be written as a sum of positive squares in 12 ways, for example, as 6285049 + 719526976 = 2507^2 + 26824^2 .

It is not a de Polignac number, because 725812025 - 214 = 725795641 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 725811982 and 725812000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79391 + ... + 88059.

It is an arithmetic number, because the mean of its divisors is an integer number (39912345).

Almost surely, 2725812025 is an apocalyptic number.

It is an amenable number.

725812025 is a deficient number, since it is larger than the sum of its proper divisors (232084255).

725812025 is a wasteful number, since it uses less digits than its factorization.

725812025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8893 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 725812025 is about 26940.8987415045. The cubic root of 725812025 is about 898.6861590895.

The spelling of 725812025 in words is "seven hundred twenty-five million, eight hundred twelve thousand, twenty-five".

Divisors: 1 5 17 25 85 197 425 985 3349 4925 8669 16745 43345 83725 147373 216725 736865 1707793 3684325 8538965 29032481 42694825 145162405 725812025