Search a number
-
+
253042157 is a prime number
BaseRepresentation
bin11110001010100…
…01110111101101
3122122010212120202
433011101313231
51004234322112
641035323245
76161552144
oct1705216755
9578125522
10253042157
1111a921355
12708b0525
13405692b4
142586c75b
15173356c2
hexf151ded

253042157 has 2 divisors, whose sum is σ = 253042158. Its totient is φ = 253042156.

The previous prime is 253042123. The next prime is 253042177. The reversal of 253042157 is 751240352.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 242923396 + 10118761 = 15586^2 + 3181^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253042157 is a prime.

It is equal to p13836521 and since 253042157 and 13836521 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253042177) 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, 126521078 + 126521079.

It is an arithmetic number, because the mean of its divisors is an integer number (126521079).

Almost surely, 2253042157 is an apocalyptic number.

It is an amenable number.

253042157 is a deficient number, since it is larger than the sum of its proper divisors (1).

253042157 is an equidigital number, since it uses as much as digits as its factorization.

253042157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 253042157 is about 15907.2988593287. The cubic root of 253042157 is about 632.5054815775.

The spelling of 253042157 in words is "two hundred fifty-three million, forty-two thousand, one hundred fifty-seven".