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252075781 is a prime number
BaseRepresentation
bin11110000011001…
…01111100000101
3122120022202222001
433001211330011
51004012411111
641002505301
76150415546
oct1701457405
9576282861
10252075781
1111a3212a1
1270505231
13402bb489
142569a4cd
15171e41c1
hexf065f05

252075781 has 2 divisors, whose sum is σ = 252075782. Its totient is φ = 252075780.

The previous prime is 252075739. The next prime is 252075797. The reversal of 252075781 is 187570252.

252075781 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184688100 + 67387681 = 13590^2 + 8209^2 .

It is a cyclic number.

It is not a de Polignac number, because 252075781 - 221 = 249978629 is a prime.

It is a super-4 number, since 4×2520757814 (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 252075781.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252075181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126037890 + 126037891.

It is an arithmetic number, because the mean of its divisors is an integer number (126037891).

Almost surely, 2252075781 is an apocalyptic number.

It is an amenable number.

252075781 is a deficient number, since it is larger than the sum of its proper divisors (1).

252075781 is an equidigital number, since it uses as much as digits as its factorization.

252075781 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 39200, while the sum is 37.

The square root of 252075781 is about 15876.8945641142. The cubic root of 252075781 is about 631.6992682410.

The spelling of 252075781 in words is "two hundred fifty-two million, seventy-five thousand, seven hundred eighty-one".