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252153773 is a prime number
BaseRepresentation
bin11110000011110…
…00111110101101
3122120110201221122
433001320332231
51004022410043
641004310325
76151162124
oct1701707655
9576421848
10252153773
1111a374953
12705423a5
1340317b21
14256baabb
151720c368
hexf078fad

252153773 has 2 divisors, whose sum is σ = 252153774. Its totient is φ = 252153772.

The previous prime is 252153767. The next prime is 252153793. The reversal of 252153773 is 377351252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220760164 + 31393609 = 14858^2 + 5603^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252153773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252153703) 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, 126076886 + 126076887.

It is an arithmetic number, because the mean of its divisors is an integer number (126076887).

Almost surely, 2252153773 is an apocalyptic number.

It is an amenable number.

252153773 is a deficient number, since it is larger than the sum of its proper divisors (1).

252153773 is an equidigital number, since it uses as much as digits as its factorization.

252153773 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 44100, while the sum is 35.

The square root of 252153773 is about 15879.3505219829. The cubic root of 252153773 is about 631.7644105684.

The spelling of 252153773 in words is "two hundred fifty-two million, one hundred fifty-three thousand, seven hundred seventy-three".