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253873457 is a prime number
BaseRepresentation
bin11110010000111…
…00110100110001
3122200201002220122
433020130310301
51004442422312
641105220025
76201613565
oct1710346461
9580632818
10253873457
11120339982
1271031615
134079a7a6
1425a076a5
151744bb72
hexf21cd31

253873457 has 2 divisors, whose sum is σ = 253873458. Its totient is φ = 253873456.

The previous prime is 253873429. The next prime is 253873469. The reversal of 253873457 is 754378352.

253873457 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., 195748081 + 58125376 = 13991^2 + 7624^2 .

It is a cyclic number.

It is not a de Polignac number, because 253873457 - 28 = 253873201 is a prime.

It is not a weakly prime, because it can be changed into another prime (253873157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126936728 + 126936729.

It is an arithmetic number, because the mean of its divisors is an integer number (126936729).

Almost surely, 2253873457 is an apocalyptic number.

It is an amenable number.

253873457 is a deficient number, since it is larger than the sum of its proper divisors (1).

253873457 is an equidigital number, since it uses as much as digits as its factorization.

253873457 is an evil number, because the sum of its binary digits is even.

The product of its digits is 705600, while the sum is 44.

The square root of 253873457 is about 15933.4069489234. The cubic root of 253873457 is about 633.1973650559.

The spelling of 253873457 in words is "two hundred fifty-three million, eight hundred seventy-three thousand, four hundred fifty-seven".