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252567037 is a prime number
BaseRepresentation
bin11110000110111…
…01110111111101
3122121020201211201
433003131313331
51004124121122
641021215501
76154533022
oct1703356775
9577221751
10252567037
1111a627398
1270701591
1340430c68
1425787549
151728ea27
hexf0dddfd

252567037 has 2 divisors, whose sum is σ = 252567038. Its totient is φ = 252567036.

The previous prime is 252566971. The next prime is 252567047. The reversal of 252567037 is 730765252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201100761 + 51466276 = 14181^2 + 7174^2 .

It is a cyclic number.

It is not a de Polignac number, because 252567037 - 211 = 252564989 is a prime.

It is a super-3 number, since 3×2525670373 (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 252566987 and 252567005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252567047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126283518 + 126283519.

It is an arithmetic number, because the mean of its divisors is an integer number (126283519).

Almost surely, 2252567037 is an apocalyptic number.

It is an amenable number.

252567037 is a deficient number, since it is larger than the sum of its proper divisors (1).

252567037 is an equidigital number, since it uses as much as digits as its factorization.

252567037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 88200, while the sum is 37.

The square root of 252567037 is about 15892.3578175172. The cubic root of 252567037 is about 632.1093627508.

The spelling of 252567037 in words is "two hundred fifty-two million, five hundred sixty-seven thousand, thirty-seven".