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153313534513 is a prime number
BaseRepresentation
bin1000111011001000110…
…0101110001000110001
3112122201200110111201001
42032302030232020301
510002441231101023
6154233053042001
714035152353506
oct2166214561061
9478650414631
10153313534513
115a024547727
1225868486301
13115c3bc0079
1475c58914ad
153ec49576ad
hex23b232e231

153313534513 has 2 divisors, whose sum is σ = 153313534514. Its totient is φ = 153313534512.

The previous prime is 153313534511. The next prime is 153313534537. The reversal of 153313534513 is 315435313351.

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., 100630431729 + 52683102784 = 317223^2 + 229528^2 .

It is an emirp because it is prime and its reverse (315435313351) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 153313534513 - 21 = 153313534511 is a prime.

Together with 153313534511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (153313534511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76656767256 + 76656767257.

It is an arithmetic number, because the mean of its divisors is an integer number (76656767257).

Almost surely, 2153313534513 is an apocalyptic number.

It is an amenable number.

153313534513 is a deficient number, since it is larger than the sum of its proper divisors (1).

153313534513 is an equidigital number, since it uses as much as digits as its factorization.

153313534513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 121500, while the sum is 37.

Adding to 153313534513 its reverse (315435313351), we get a palindrome (468748847864).

The spelling of 153313534513 in words is "one hundred fifty-three billion, three hundred thirteen million, five hundred thirty-four thousand, five hundred thirteen".