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252002212153 is a prime number
BaseRepresentation
bin1110101010110010000…
…0001001100100111001
3220002110110121202211221
43222230200021210321
513112100031242103
6311433533552041
724130564313656
oct3525440114471
9802413552757
10252002212153
119796775193a
1240a0b045621
131a9c0b2c103
14c2a86c4c2d
15684d9b71bd
hex3aac809939

252002212153 has 2 divisors, whose sum is σ = 252002212154. Its totient is φ = 252002212152.

The previous prime is 252002212141. The next prime is 252002212159. The reversal of 252002212153 is 351212200252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178597521664 + 73404690489 = 422608^2 + 270933^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252002212153 is a prime.

It is a super-2 number, since 2×2520022121532 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (252002212159) 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, 126001106076 + 126001106077.

It is an arithmetic number, because the mean of its divisors is an integer number (126001106077).

Almost surely, 2252002212153 is an apocalyptic number.

It is an amenable number.

252002212153 is a deficient number, since it is larger than the sum of its proper divisors (1).

252002212153 is an equidigital number, since it uses as much as digits as its factorization.

252002212153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 252002212153 in words is "two hundred fifty-two billion, two million, two hundred twelve thousand, one hundred fifty-three".