Search a number
-
+
252139997 is a prime number
BaseRepresentation
bin11110000011101…
…01100111011101
3122120110001001102
433001311213131
51004021434442
641004122445
76151104014
oct1701654735
9576401042
10252139997
1111a36556a
1270536425
1340311785
14256b5a7b
1517208232
hexf0759dd

252139997 has 2 divisors, whose sum is σ = 252139998. Its totient is φ = 252139996.

The previous prime is 252139939. The next prime is 252140011. The reversal of 252139997 is 799931252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 237745561 + 14394436 = 15419^2 + 3794^2 .

It is a cyclic number.

It is not a de Polignac number, because 252139997 - 26 = 252139933 is a prime.

It is a super-3 number, since 3×2521399973 (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252139897) 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, 126069998 + 126069999.

It is an arithmetic number, because the mean of its divisors is an integer number (126069999).

Almost surely, 2252139997 is an apocalyptic number.

It is an amenable number.

252139997 is a deficient number, since it is larger than the sum of its proper divisors (1).

252139997 is an equidigital number, since it uses as much as digits as its factorization.

252139997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 306180, while the sum is 47.

The square root of 252139997 is about 15878.9167451687. The cubic root of 252139997 is about 631.7529052279.

The spelling of 252139997 in words is "two hundred fifty-two million, one hundred thirty-nine thousand, nine hundred ninety-seven".