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113552531504353 is a prime number
BaseRepresentation
bin11001110100011010000010…
…010011011011110011100001
3112220001111221011022200120001
4121310122002103123303201
5104340421041031114403
61041301151323020001
732626620405210244
oct3164320223336341
9486044834280501
10113552531504353
11331aa3a37a9077
121089b2a906a601
134b48c5b2cbbc6
142007d86a7d25b
15d1db667cec1d
hex6746824dbce1

113552531504353 has 2 divisors, whose sum is σ = 113552531504354. Its totient is φ = 113552531504352.

The previous prime is 113552531504351. The next prime is 113552531504407. The reversal of 113552531504353 is 353405135255311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96412211136784 + 17140320367569 = 9818972^2 + 4140087^2 .

It is a cyclic number.

It is not a de Polignac number, because 113552531504353 - 21 = 113552531504351 is a prime.

It is a super-2 number, since 2×1135525315043532 (a number of 29 digits) contains 22 as substring.

Together with 113552531504351, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (113552531504351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56776265752176 + 56776265752177.

It is an arithmetic number, because the mean of its divisors is an integer number (56776265752177).

Almost surely, 2113552531504353 is an apocalyptic number.

It is an amenable number.

113552531504353 is a deficient number, since it is larger than the sum of its proper divisors (1).

113552531504353 is an equidigital number, since it uses as much as digits as its factorization.

113552531504353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2025000, while the sum is 46.

Adding to 113552531504353 its reverse (353405135255311), we get a palindrome (466957666759664).

The spelling of 113552531504353 in words is "one hundred thirteen trillion, five hundred fifty-two billion, five hundred thirty-one million, five hundred four thousand, three hundred fifty-three".