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253012577 is a prime number
BaseRepresentation
bin11110001010010…
…10101001100001
3122122002101000012
433011022221201
51004232400302
641034534305
76161366666
oct1705125141
9578071005
10253012577
1111a901104
1270897395
13405589ac
1425861a6d
151732ba52
hexf14aa61

253012577 has 2 divisors, whose sum is σ = 253012578. Its totient is φ = 253012576.

The previous prime is 253012541. The next prime is 253012583. The reversal of 253012577 is 775210352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 225930961 + 27081616 = 15031^2 + 5204^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253012577 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (253012597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126506288 + 126506289.

It is an arithmetic number, because the mean of its divisors is an integer number (126506289).

Almost surely, 2253012577 is an apocalyptic number.

It is an amenable number.

253012577 is a deficient number, since it is larger than the sum of its proper divisors (1).

253012577 is an equidigital number, since it uses as much as digits as its factorization.

253012577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 253012577 is about 15906.3690702813. The cubic root of 253012577 is about 632.4808345102.

The spelling of 253012577 in words is "two hundred fifty-three million, twelve thousand, five hundred seventy-seven".