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252601319 is a prime number
BaseRepresentation
bin11110000111001…
…10001111100111
3122121022110212102
433003212033213
51004131220234
641022042315
76155034665
oct1703461747
9577273772
10252601319
1111a650123
127071939b
1340443749
1425795c35
1517299c7e
hexf0e63e7

252601319 has 2 divisors, whose sum is σ = 252601320. Its totient is φ = 252601318.

The previous prime is 252601301. The next prime is 252601367. The reversal of 252601319 is 913106252.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 252601319 - 224 = 235824103 is a prime.

It is a super-2 number, since 2×2526013192 = 127614852721079522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 252601291 and 252601300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252601379) 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, 126300659 + 126300660.

It is an arithmetic number, because the mean of its divisors is an integer number (126300660).

Almost surely, 2252601319 is an apocalyptic number.

252601319 is a deficient number, since it is larger than the sum of its proper divisors (1).

252601319 is an equidigital number, since it uses as much as digits as its factorization.

252601319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 252601319 is about 15893.4363496382. The cubic root of 252601319 is about 632.1379610892.

The spelling of 252601319 in words is "two hundred fifty-two million, six hundred one thousand, three hundred nineteen".