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2505135241 = 7252198129
BaseRepresentation
bin1001010101010001…
…0101010010001001
320110120212001111201
42111110111102021
520112303311431
61052325424201
7116036204200
oct22524252211
96416761451
102505135241
1110760a1204
1259ab6b061
1330c00995b
1419a9ca237
15e9de2461
hex95515489

2505135241 has 12 divisors (see below), whose sum is σ = 2919760020. Its totient is φ = 2143115520.

The previous prime is 2505135211. The next prime is 2505135247. The reversal of 2505135241 is 1425315052.

It can be written as a sum of positive squares in 2 ways, for example, as 203918400 + 2301216841 = 14280^2 + 47971^2 .

It is not a de Polignac number, because 2505135241 - 213 = 2505127049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2505135247) 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 11 ways as a sum of consecutive naturals, for example, 23536 + ... + 74593.

It is an arithmetic number, because the mean of its divisors is an integer number (243313335).

Almost surely, 22505135241 is an apocalyptic number.

It is an amenable number.

2505135241 is a deficient number, since it is larger than the sum of its proper divisors (414624779).

2505135241 is an equidigital number, since it uses as much as digits as its factorization.

2505135241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98664 (or 98657 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 2505135241 is about 50051.3260663491. The cubic root of 2505135241 is about 1358.1374519886.

The spelling of 2505135241 in words is "two billion, five hundred five million, one hundred thirty-five thousand, two hundred forty-one".

Divisors: 1 7 49 521 3647 25529 98129 686903 4808321 51125209 357876463 2505135241