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2541999457 is a prime number
BaseRepresentation
bin1001011110000011…
…1101010101100001
320120011012221201001
42113200331111201
520201222440312
61100123512001
7116664432064
oct22740752541
96504187631
102541999457
11109498a8a8
125ab388601
133168460ba
141a18648db
15ed275057
hex9783d561

2541999457 has 2 divisors, whose sum is σ = 2541999458. Its totient is φ = 2541999456.

The previous prime is 2541999433. The next prime is 2541999463. The reversal of 2541999457 is 7549991452.

It is a happy number.

2541999457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1847624256 + 694375201 = 42984^2 + 26351^2 .

It is a cyclic number.

It is not a de Polignac number, because 2541999457 - 27 = 2541999329 is a prime.

It is a super-2 number, since 2×25419994572 = 12923522478776589698, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2541999398 and 2541999407.

It is not a weakly prime, because it can be changed into another prime (2541999407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270999728 + 1270999729.

It is an arithmetic number, because the mean of its divisors is an integer number (1270999729).

Almost surely, 22541999457 is an apocalyptic number.

It is an amenable number.

2541999457 is a deficient number, since it is larger than the sum of its proper divisors (1).

2541999457 is an equidigital number, since it uses as much as digits as its factorization.

2541999457 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4082400, while the sum is 55.

The square root of 2541999457 is about 50418.2452788671. The cubic root of 2541999457 is about 1364.7669112300.

The spelling of 2541999457 in words is "two billion, five hundred forty-one million, nine hundred ninety-nine thousand, four hundred fifty-seven".