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252577253 is a prime number
BaseRepresentation
bin11110000111000…
…00010111100101
3122121021020212002
433003200113211
51004124433003
641021335045
76154604555
oct1703402745
9577236762
10252577253
1111a634035
1270707485
13404357c6
142578b165
1517292a88
hexf0e05e5

252577253 has 2 divisors, whose sum is σ = 252577254. Its totient is φ = 252577252.

The previous prime is 252577231. The next prime is 252577267. The reversal of 252577253 is 352775252.

252577253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181225444 + 71351809 = 13462^2 + 8447^2 .

It is a cyclic number.

It is not a de Polignac number, because 252577253 - 28 = 252576997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252577453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126288626 + 126288627.

It is an arithmetic number, because the mean of its divisors is an integer number (126288627).

Almost surely, 2252577253 is an apocalyptic number.

It is an amenable number.

252577253 is a deficient number, since it is larger than the sum of its proper divisors (1).

252577253 is an equidigital number, since it uses as much as digits as its factorization.

252577253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 147000, while the sum is 38.

The square root of 252577253 is about 15892.6792266125. The cubic root of 252577253 is about 632.1178852963.

The spelling of 252577253 in words is "two hundred fifty-two million, five hundred seventy-seven thousand, two hundred fifty-three".