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252503005253 is a prime number
BaseRepresentation
bin1110101100101001011…
…0100001100001000101
3220010202100221200211112
43223022112201201011
513114111232132003
6311555343414405
724146155063112
oct3531226414105
9803670850745
10252503005253
11980a4400134
1240b2a8b4405
131aa708011a5
14c315005909
15687c93a3d8
hex3aca5a1845

252503005253 has 2 divisors, whose sum is σ = 252503005254. Its totient is φ = 252503005252.

The previous prime is 252503005231. The next prime is 252503005309. The reversal of 252503005253 is 352500305252.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 244240558849 + 8262446404 = 494207^2 + 90898^2 .

It is a cyclic number.

It is not a de Polignac number, because 252503005253 - 26 = 252503005189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252503605253) 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, 126251502626 + 126251502627.

It is an arithmetic number, because the mean of its divisors is an integer number (126251502627).

Almost surely, 2252503005253 is an apocalyptic number.

It is an amenable number.

252503005253 is a deficient number, since it is larger than the sum of its proper divisors (1).

252503005253 is an equidigital number, since it uses as much as digits as its factorization.

252503005253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45000, while the sum is 32.

The spelling of 252503005253 in words is "two hundred fifty-two billion, five hundred three million, five thousand, two hundred fifty-three".