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53131441313 is a prime number
BaseRepresentation
bin110001011110111000…
…010111010010100001
312002010211011212112202
4301132320113102201
51332303122110223
640224103102545
73560434541156
oct613670272241
9162124155482
1053131441313
112059534a285
12a369741a55
135019755a92
14280059022d
1515ae74e428
hexc5ee174a1

53131441313 has 2 divisors, whose sum is σ = 53131441314. Its totient is φ = 53131441312.

The previous prime is 53131441303. The next prime is 53131441327. The reversal of 53131441313 is 31314413135.

It is a happy number.

53131441313 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., 37176467344 + 15954973969 = 192812^2 + 126313^2 .

It is a cyclic number.

It is not a de Polignac number, because 53131441313 - 232 = 48836474017 is a prime.

It is not a weakly prime, because it can be changed into another prime (53131441303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26565720656 + 26565720657.

It is an arithmetic number, because the mean of its divisors is an integer number (26565720657).

Almost surely, 253131441313 is an apocalyptic number.

It is an amenable number.

53131441313 is a deficient number, since it is larger than the sum of its proper divisors (1).

53131441313 is an equidigital number, since it uses as much as digits as its factorization.

53131441313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6480, while the sum is 29.

Adding to 53131441313 its reverse (31314413135), we get a palindrome (84445854448).

The spelling of 53131441313 in words is "fifty-three billion, one hundred thirty-one million, four hundred forty-one thousand, three hundred thirteen".