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1301000225 = 52721762473
BaseRepresentation
bin100110110001011…
…1011000000100001
310100200001122210112
41031202323000201
510131024001400
6333032541105
744145214400
oct11542730041
93320048715
101301000225
116084207a8
12303851795
131796c8325
14c4b01637
157933b835
hex4d8bb021

1301000225 has 36 divisors (see below), whose sum is σ = 1987048044. Its totient is φ = 839623680.

The previous prime is 1301000213. The next prime is 1301000227. The reversal of 1301000225 is 5220001031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 388129 + 1300612096 = 623^2 + 36064^2 .

It is not a de Polignac number, because 1301000225 - 212 = 1300996129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1301000227) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 10412 + ... + 52061.

It is an arithmetic number, because the mean of its divisors is an integer number (55195779).

Almost surely, 21301000225 is an apocalyptic number.

1301000225 is the 20825-th octagonal number.

It is an amenable number.

1301000225 is a deficient number, since it is larger than the sum of its proper divisors (686047819).

1301000225 is a wasteful number, since it uses less digits than its factorization.

1301000225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62514 (or 62502 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1301000225 is about 36069.3807127320. The cubic root of 1301000225 is about 1091.6727185985.

Adding to 1301000225 its reverse (5220001031), we get a palindrome (6521001256).

The spelling of 1301000225 in words is "one billion, three hundred one million, two hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 7 17 25 35 49 85 119 175 245 425 595 833 1225 2975 4165 20825 62473 312365 437311 1062041 1561825 2186555 3061177 5310205 7434287 10932775 15305885 26551025 37171435 52040009 76529425 185857175 260200045 1301000225