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252557397569 is a prime number
BaseRepresentation
bin1110101100110110011…
…0000000111001000001
3220010220011022010001202
43223031212000321001
513114214143210234
6312005005310545
724150415313231
oct3531546007101
9803804263052
10252557397569
1198122080964
1240b44b65455
131aa7bb668a9
14c31c323cc1
1568825d177e
hex3acd980e41

252557397569 has 2 divisors, whose sum is σ = 252557397570. Its totient is φ = 252557397568.

The previous prime is 252557397553. The next prime is 252557397611. The reversal of 252557397569 is 965793755252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 171551699344 + 81005698225 = 414188^2 + 284615^2 .

It is a cyclic number.

It is not a de Polignac number, because 252557397569 - 24 = 252557397553 is a prime.

It is a super-2 number, since 2×2525573975692 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (252557397529) 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, 126278698784 + 126278698785.

It is an arithmetic number, because the mean of its divisors is an integer number (126278698785).

Almost surely, 2252557397569 is an apocalyptic number.

It is an amenable number.

252557397569 is a deficient number, since it is larger than the sum of its proper divisors (1).

252557397569 is an equidigital number, since it uses as much as digits as its factorization.

252557397569 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 178605000, while the sum is 65.

The spelling of 252557397569 in words is "two hundred fifty-two billion, five hundred fifty-seven million, three hundred ninety-seven thousand, five hundred sixty-nine".