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252540341 is a prime number
BaseRepresentation
bin11110000110101…
…11010110110101
3122121012101012222
433003113112311
51004122242331
641020452125
76154362134
oct1703272665
9577171188
10252540341
1111a609329
12706aa045
1340421a71
142577b91b
1517286b7b
hexf0d75b5

252540341 has 2 divisors, whose sum is σ = 252540342. Its totient is φ = 252540340.

The previous prime is 252540329. The next prime is 252540347. The reversal of 252540341 is 143045252.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159012100 + 93528241 = 12610^2 + 9671^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252540341 is a prime.

It is equal to p13810661 and since 252540341 and 13810661 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252540341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252540347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126270170 + 126270171.

It is an arithmetic number, because the mean of its divisors is an integer number (126270171).

Almost surely, 2252540341 is an apocalyptic number.

It is an amenable number.

252540341 is a deficient number, since it is larger than the sum of its proper divisors (1).

252540341 is an equidigital number, since it uses as much as digits as its factorization.

252540341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 252540341 is about 15891.5178947764. The cubic root of 252540341 is about 632.0870909264.

Adding to 252540341 its reverse (143045252), we get a palindrome (395585593).

The spelling of 252540341 in words is "two hundred fifty-two million, five hundred forty thousand, three hundred forty-one".