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252757621 is a prime number
BaseRepresentation
bin11110001000011…
…00011001110101
3122121121102021101
433010030121311
51004201220441
641025250101
76156255454
oct1704143165
9577542241
10252757621
1111a7475a6
1270793931
134049992c
14257d6b9b
15172cb231
hexf10c675

252757621 has 2 divisors, whose sum is σ = 252757622. Its totient is φ = 252757620.

The previous prime is 252757613. The next prime is 252757633. The reversal of 252757621 is 126757252.

252757621 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., 251222500 + 1535121 = 15850^2 + 1239^2 .

It is a cyclic number.

It is not a de Polignac number, because 252757621 - 23 = 252757613 is a prime.

It is a super-3 number, since 3×2527576213 (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 (252757691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126378810 + 126378811.

It is an arithmetic number, because the mean of its divisors is an integer number (126378811).

Almost surely, 2252757621 is an apocalyptic number.

It is an amenable number.

252757621 is a deficient number, since it is larger than the sum of its proper divisors (1).

252757621 is an equidigital number, since it uses as much as digits as its factorization.

252757621 is an evil number, because the sum of its binary digits is even.

The product of its digits is 58800, while the sum is 37.

The square root of 252757621 is about 15898.3527763099. The cubic root of 252757621 is about 632.2683167764.

It can be divided in two parts, 25275 and 7621, that added together give a triangular number (32896 = T256).

The spelling of 252757621 in words is "two hundred fifty-two million, seven hundred fifty-seven thousand, six hundred twenty-one".