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251413601 is a prime number
BaseRepresentation
bin11101111110001…
…00010001100001
3122112002010121212
432333010101201
51003330213401
640540355505
76141660155
oct1677042141
9575063555
10251413601
11119a0983a
1270245b95
1340118c5a
1425567065
1517112dbb
hexefc4461

251413601 has 2 divisors, whose sum is σ = 251413602. Its totient is φ = 251413600.

The previous prime is 251413597. The next prime is 251413607. The reversal of 251413601 is 106314152.

251413601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 226653025 + 24760576 = 15055^2 + 4976^2 .

It is a cyclic number.

It is not a de Polignac number, because 251413601 - 22 = 251413597 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (251413607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125706800 + 125706801.

It is an arithmetic number, because the mean of its divisors is an integer number (125706801).

Almost surely, 2251413601 is an apocalyptic number.

It is an amenable number.

251413601 is a deficient number, since it is larger than the sum of its proper divisors (1).

251413601 is an equidigital number, since it uses as much as digits as its factorization.

251413601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 251413601 is about 15856.0272767172. The cubic root of 251413601 is about 631.1456444688.

Adding to 251413601 its reverse (106314152), we get a palindrome (357727753).

The spelling of 251413601 in words is "two hundred fifty-one million, four hundred thirteen thousand, six hundred one".