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2540137309 is a prime number
BaseRepresentation
bin1001011101100111…
…0110101101011101
320120000201100022121
42113121312231131
520200233343214
61100015542541
7116642545063
oct22731665535
96500640277
102540137309
111093928836
125aa82aa51
13316343638
141a14dc033
15ed008424
hex97676b5d

2540137309 has 2 divisors, whose sum is σ = 2540137310. Its totient is φ = 2540137308.

The previous prime is 2540137261. The next prime is 2540137333. The reversal of 2540137309 is 9037310452.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2531599225 + 8538084 = 50315^2 + 2922^2 .

It is a cyclic number.

It is not a de Polignac number, because 2540137309 - 211 = 2540135261 is a prime.

It is a super-2 number, since 2×25401373092 = 12904595097147522962, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2540137339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270068654 + 1270068655.

It is an arithmetic number, because the mean of its divisors is an integer number (1270068655).

Almost surely, 22540137309 is an apocalyptic number.

It is an amenable number.

2540137309 is a deficient number, since it is larger than the sum of its proper divisors (1).

2540137309 is an equidigital number, since it uses as much as digits as its factorization.

2540137309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 2540137309 is about 50399.7748903703. The cubic root of 2540137309 is about 1364.4335753608.

The spelling of 2540137309 in words is "two billion, five hundred forty million, one hundred thirty-seven thousand, three hundred nine".