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2513772641 is a prime number
BaseRepresentation
bin1001010111010101…
…0010000001100001
320111012002212210102
42111311102001201
520122011211031
61053234512145
7116202500132
oct22565220141
96435085712
102513772641
11107aa60656
125a1a35655
13310a42243
1419bbd7c89
15eaa4b7cb
hex95d52061

2513772641 has 2 divisors, whose sum is σ = 2513772642. Its totient is φ = 2513772640.

The previous prime is 2513772631. The next prime is 2513772659. The reversal of 2513772641 is 1462773152.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2506504225 + 7268416 = 50065^2 + 2696^2 .

It is a cyclic number.

It is not a de Polignac number, because 2513772641 - 214 = 2513756257 is a prime.

It is a super-2 number, since 2×25137726412 = 12638105781280229762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2513772595 and 2513772604.

It is not a weakly prime, because it can be changed into another prime (2513772601) 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 as a sum of consecutive naturals, namely, 1256886320 + 1256886321.

It is an arithmetic number, because the mean of its divisors is an integer number (1256886321).

Almost surely, 22513772641 is an apocalyptic number.

It is an amenable number.

2513772641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2513772641 is an equidigital number, since it uses as much as digits as its factorization.

2513772641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70560, while the sum is 38.

The square root of 2513772641 is about 50137.5372450622. The cubic root of 2513772641 is about 1359.6965587795.

The spelling of 2513772641 in words is "two billion, five hundred thirteen million, seven hundred seventy-two thousand, six hundred forty-one".