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2508133249 is a prime number
BaseRepresentation
bin1001010101111111…
…0001001110000001
320110210111101000001
42111133301032001
520114040230444
61052514000001
7116103531556
oct22537611601
96423441001
102508133249
1110778596a6
1259bb76001
1330c81941b
1419b16aa2d
15ea2d58d4
hex957f1381

2508133249 has 2 divisors, whose sum is σ = 2508133250. Its totient is φ = 2508133248.

The previous prime is 2508133219. The next prime is 2508133321. The reversal of 2508133249 is 9423318052.

2508133249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2284840000 + 223293249 = 47800^2 + 14943^2 .

It is a cyclic number.

It is not a de Polignac number, because 2508133249 - 211 = 2508131201 is a prime.

It is a super-3 number, since 3×25081332493 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2508133219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1254066624 + 1254066625.

It is an arithmetic number, because the mean of its divisors is an integer number (1254066625).

Almost surely, 22508133249 is an apocalyptic number.

It is an amenable number.

2508133249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2508133249 is an equidigital number, since it uses as much as digits as its factorization.

2508133249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 2508133249 is about 50081.2664476449. The cubic root of 2508133249 is about 1358.6790173957.

The spelling of 2508133249 in words is "two billion, five hundred eight million, one hundred thirty-three thousand, two hundred forty-nine".