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2252453125 = 56132853
BaseRepresentation
bin1000011001000001…
…1011010100000101
312210222101110210211
42012100123110011
514103112000000
61011301515421
7106550351506
oct20620332405
95728343724
102252453125
11a564a640a
1252a412b71
1329b868500
14175212bad
15d2b2d7ba
hex8641b505

2252453125 has 42 divisors (see below), whose sum is σ = 3052343742. Its totient is φ = 1661400000.

The previous prime is 2252453117. The next prime is 2252453183. The reversal of 2252453125 is 5213542522.

It can be written as a sum of positive squares in 21 ways, for example, as 18378369 + 2234074756 = 4287^2 + 47266^2 .

It is not a de Polignac number, because 2252453125 - 23 = 2252453117 is a prime.

It is a super-3 number, since 3×22524531253 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2640199 + ... + 2641051.

It is an arithmetic number, because the mean of its divisors is an integer number (72674851).

Almost surely, 22252453125 is an apocalyptic number.

2252453125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2252453125 is a deficient number, since it is larger than the sum of its proper divisors (799890617).

2252453125 is an frugal number, since it uses more digits than its factorization.

2252453125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 871 counting only the distinct ones).

The product of its digits is 24000, while the sum is 31.

The square root of 2252453125 is about 47460.0160661583. The cubic root of 2252453125 is about 1310.8467468214.

Adding to 2252453125 its reverse (5213542522), we get a palindrome (7465995647).

The spelling of 2252453125 in words is "two billion, two hundred fifty-two million, four hundred fifty-three thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 325 625 845 853 1625 3125 4225 4265 8125 11089 15625 21125 21325 40625 55445 105625 106625 144157 203125 277225 528125 533125 720785 1386125 2640625 2665625 3603925 6930625 13328125 18019625 34653125 90098125 173265625 450490625 2252453125