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2505010381 is a prime number
BaseRepresentation
bin1001010101001111…
…0110110011001101
320110120121201020021
42111103312303031
520112240313011
61052323022141
7116035144156
oct22523666315
96416551207
102505010381
111076016415
1259ab0a951
1330bc94b83
1419a99692d
15e9dba471
hex954f6ccd

2505010381 has 2 divisors, whose sum is σ = 2505010382. Its totient is φ = 2505010380.

The previous prime is 2505010363. The next prime is 2505010399. The reversal of 2505010381 is 1830105052.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (2505010363) and next prime (2505010399).

It can be written as a sum of positive squares in only one way, i.e., 2476654756 + 28355625 = 49766^2 + 5325^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505010381 - 27 = 2505010253 is a prime.

It is a super-2 number, since 2×25050103812 = 12550154017835530322, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2505010681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252505190 + 1252505191.

It is an arithmetic number, because the mean of its divisors is an integer number (1252505191).

Almost surely, 22505010381 is an apocalyptic number.

It is an amenable number.

2505010381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505010381 is an equidigital number, since it uses as much as digits as its factorization.

2505010381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 2505010381 is about 50050.0787312068. The cubic root of 2505010381 is about 1358.1148876899.

The spelling of 2505010381 in words is "two billion, five hundred five million, ten thousand, three hundred eighty-one".