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253657013 is a prime number
BaseRepresentation
bin11110001111001…
…11111110110101
3122200022010000012
433013213332311
51004414011023
641100430005
76200022551
oct1707477665
9580263005
10253657013
111202012a5
1270b48305
134072310c
142598c861
1517407978
hexf1e7fb5

253657013 has 2 divisors, whose sum is σ = 253657014. Its totient is φ = 253657012.

The previous prime is 253656959. The next prime is 253657021. The reversal of 253657013 is 310756352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157577809 + 96079204 = 12553^2 + 9802^2 .

It is a cyclic number.

It is not a de Polignac number, because 253657013 - 28 = 253656757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253657513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126828506 + 126828507.

It is an arithmetic number, because the mean of its divisors is an integer number (126828507).

Almost surely, 2253657013 is an apocalyptic number.

It is an amenable number.

253657013 is a deficient number, since it is larger than the sum of its proper divisors (1).

253657013 is an equidigital number, since it uses as much as digits as its factorization.

253657013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 253657013 is about 15926.6133562663. The cubic root of 253657013 is about 633.0173662760.

The spelling of 253657013 in words is "two hundred fifty-three million, six hundred fifty-seven thousand, thirteen".