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2540059261 is a prime number
BaseRepresentation
bin1001011101100110…
…0011101001111101
320120000120101020221
42113121203221331
520200223344021
61100014141341
7116642101405
oct22731435175
96500511227
102540059261
111093885133
125aa7b1851
13316316c5c
141a14bb805
15ecee0241
hex97663a7d

2540059261 has 2 divisors, whose sum is σ = 2540059262. Its totient is φ = 2540059260.

The previous prime is 2540059259. The next prime is 2540059273. The reversal of 2540059261 is 1629500452.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2168764900 + 371294361 = 46570^2 + 19269^2 .

It is a cyclic number.

It is not a de Polignac number, because 2540059261 - 21 = 2540059259 is a prime.

It is a super-2 number, since 2×25400592612 = 12903802098783732242, which contains 22 as substring.

Together with 2540059259, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2540059961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270029630 + 1270029631.

It is an arithmetic number, because the mean of its divisors is an integer number (1270029631).

Almost surely, 22540059261 is an apocalyptic number.

It is an amenable number.

2540059261 is a deficient number, since it is larger than the sum of its proper divisors (1).

2540059261 is an equidigital number, since it uses as much as digits as its factorization.

2540059261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 2540059261 is about 50399.0005952499. Note that the first 3 decimals coincide. The cubic root of 2540059261 is about 1364.4196007353.

The spelling of 2540059261 in words is "two billion, five hundred forty million, fifty-nine thousand, two hundred sixty-one".