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253553430401 is a prime number
BaseRepresentation
bin1110110000100011110…
…1100100111110000001
3220020110120111211020122
43230020331210332001
513123234134233101
6312251505550025
724214201412105
oct3541075447601
9806416454218
10253553430401
1198593335097
1241182645315
131abaa31512b
14c3b471b905
1568dec7c51b
hex3b08f64f81

253553430401 has 2 divisors, whose sum is σ = 253553430402. Its totient is φ = 253553430400.

The previous prime is 253553430397. The next prime is 253553430409. The reversal of 253553430401 is 104034355352.

It is a happy number.

253553430401 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., 175711872400 + 77841558001 = 419180^2 + 279001^2 .

It is a cyclic number.

It is not a de Polignac number, because 253553430401 - 22 = 253553430397 is a prime.

It is a super-2 number, since 2×2535534304012 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (253553430409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126776715200 + 126776715201.

It is an arithmetic number, because the mean of its divisors is an integer number (126776715201).

Almost surely, 2253553430401 is an apocalyptic number.

It is an amenable number.

253553430401 is a deficient number, since it is larger than the sum of its proper divisors (1).

253553430401 is an equidigital number, since it uses as much as digits as its factorization.

253553430401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 253553430401 its reverse (104034355352), we get a palindrome (357587785753).

The spelling of 253553430401 in words is "two hundred fifty-three billion, five hundred fifty-three million, four hundred thirty thousand, four hundred one".