Search a number
-
+
252790753 is a prime number
BaseRepresentation
bin11110001000101…
…00011111100001
3122121200002201111
433010110133201
51004203301003
641030103321
76156454165
oct1704243741
9577602644
10252790753
1111a76a486
12707aab41
13404aba37
1425804ca5
15172d5e6d
hexf1147e1

252790753 has 2 divisors, whose sum is σ = 252790754. Its totient is φ = 252790752.

The previous prime is 252790711. The next prime is 252790819. The reversal of 252790753 is 357097252.

252790753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 231557089 + 21233664 = 15217^2 + 4608^2 .

It is a cyclic number.

It is not a de Polignac number, because 252790753 - 221 = 250693601 is a prime.

It is a super-3 number, since 3×2527907533 (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (252790553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126395376 + 126395377.

It is an arithmetic number, because the mean of its divisors is an integer number (126395377).

Almost surely, 2252790753 is an apocalyptic number.

It is an amenable number.

252790753 is a deficient number, since it is larger than the sum of its proper divisors (1).

252790753 is an equidigital number, since it uses as much as digits as its factorization.

252790753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 132300, while the sum is 40.

The square root of 252790753 is about 15899.3947369074. The cubic root of 252790753 is about 632.2959419225.

The spelling of 252790753 in words is "two hundred fifty-two million, seven hundred ninety thousand, seven hundred fifty-three".