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245120321225 = 521317137323837
BaseRepresentation
bin1110010001001001001…
…1110100011011001001
3212102200212010111020202
43210102103310123021
513004001300234400
6304335015101545
723465211232013
oct3442223643311
9772625114222
10245120321225
1194a5603837a
123b60a3718b5
131a16513a4c0
14bc147111b3
15659972d4d5
hex39124f46c9

245120321225 has 48 divisors (see below), whose sum is σ = 349115498928. Its totient is φ = 169120112640.

The previous prime is 245120321221. The next prime is 245120321263. The reversal of 245120321225 is 522123021542.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 87917587081 + 157202734144 = 296509^2 + 396488^2 .

It is not a de Polignac number, because 245120321225 - 22 = 245120321221 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (245120321221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 595007 + ... + 918843.

It is an arithmetic number, because the mean of its divisors is an integer number (7273239561).

Almost surely, 2245120321225 is an apocalyptic number.

245120321225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

245120321225 is a deficient number, since it is larger than the sum of its proper divisors (103995177703).

245120321225 is a wasteful number, since it uses less digits than its factorization.

245120321225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324014 (or 324009 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 245120321225 its reverse (522123021542), we get a palindrome (767243342767).

The spelling of 245120321225 in words is "two hundred forty-five billion, one hundred twenty million, three hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 137 221 325 425 685 1105 1781 2329 3425 5525 8905 11645 30277 44525 58225 151385 323837 756925 1619185 4209881 5505229 8095925 21049405 27526145 44365669 71567977 105247025 137630725 221828345 357839885 576753697 754216373 1109141725 1789199425 2883768485 3771081865 9804812849 14418842425 18855409325 49024064245 245120321225