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252444531125509 is a prime number
BaseRepresentation
bin111001011001100011010010…
…100110100110110100000101
31020002211110110102101002211221
4321121203102212212310011
5231042022344432004014
62252523225552400341
7104113341546543202
oct7131432246466405
91202743412332757
10252444531125509
1173489140672288
12243915368460b1
13aab25565ba958
14464a54813aca9
151e2b9dcc97b24
hexe598d29a6d05

252444531125509 has 2 divisors, whose sum is σ = 252444531125510. Its totient is φ = 252444531125508.

The previous prime is 252444531125363. The next prime is 252444531125597. The reversal of 252444531125509 is 905521135444252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239493731092225 + 12950800033284 = 15475585^2 + 3598722^2 .

It is a cyclic number.

It is not a de Polignac number, because 252444531125509 - 235 = 252410171387141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252444532125509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126222265562754 + 126222265562755.

It is an arithmetic number, because the mean of its divisors is an integer number (126222265562755).

Almost surely, 2252444531125509 is an apocalyptic number.

It is an amenable number.

252444531125509 is a deficient number, since it is larger than the sum of its proper divisors (1).

252444531125509 is an equidigital number, since it uses as much as digits as its factorization.

252444531125509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640000, while the sum is 52.

The spelling of 252444531125509 in words is "two hundred fifty-two trillion, four hundred forty-four billion, five hundred thirty-one million, one hundred twenty-five thousand, five hundred nine".