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251393 is a prime number
BaseRepresentation
bin111101011000000001
3110202211212
4331120001
531021033
65215505
72064632
oct753001
9422755
10251393
1116196a
12101595
138a56c
1467889
154e748
hex3d601

251393 has 2 divisors, whose sum is σ = 251394. Its totient is φ = 251392.

The previous prime is 251387. The next prime is 251417. The reversal of 251393 is 393152.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204304 + 47089 = 452^2 + 217^2 .

It is a cyclic number.

It is not a de Polignac number, because 251393 - 214 = 235009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 251393.

It is not a weakly prime, because it can be changed into another prime (251323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125696 + 125697.

It is an arithmetic number, because the mean of its divisors is an integer number (125697).

It is a Proth number, since it is equal to 491 ⋅ 29 + 1 and 491 < 29.

2251393 is an apocalyptic number.

It is an amenable number.

251393 is a deficient number, since it is larger than the sum of its proper divisors (1).

251393 is an equidigital number, since it uses as much as digits as its factorization.

251393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 810, while the sum is 23.

The square root of 251393 is about 501.3910649383. The cubic root of 251393 is about 63.1128405165.

The spelling of 251393 in words is "two hundred fifty-one thousand, three hundred ninety-three".