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252252252253 is a prime number
BaseRepresentation
bin1110101011101101100…
…1111110100001011101
3220010002220010010101101
43222323121332201131
513113103034033003
6311514425113101
724140021523601
oct3527331764135
9803086103341
10252252252253
1197a85902751
1240a7a928791
131aa30886b31
14c2cd9b1501
15686590811d
hex3abb67e85d

252252252253 has 2 divisors, whose sum is σ = 252252252254. Its totient is φ = 252252252252.

The previous prime is 252252252223. The next prime is 252252252271. The reversal of 252252252253 is 352252252252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 242746392249 + 9505860004 = 492693^2 + 97498^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252252252253 is a prime.

It is a super-3 number, since 3×2522522522533 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252252252223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126126126126 + 126126126127.

It is an arithmetic number, because the mean of its divisors is an integer number (126126126127).

Almost surely, 2252252252253 is an apocalyptic number.

It is an amenable number.

252252252253 is a deficient number, since it is larger than the sum of its proper divisors (1).

252252252253 is an equidigital number, since it uses as much as digits as its factorization.

252252252253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 240000, while the sum is 37.

Subtracting 252252252253 from its reverse (352252252252), we obtain a palindrome (99999999999).

The spelling of 252252252253 in words is "two hundred fifty-two billion, two hundred fifty-two million, two hundred fifty-two thousand, two hundred fifty-three".