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13531781957 is a prime number
BaseRepresentation
bin11001001101000111…
…01001101101000101
31021221001102202011112
430212203221231011
5210203114010312
610114425014405
7656221151231
oct144643515505
937831382145
1013531781957
11581437a081
122757924405
131378603b95
149252355c1
15542e96d22
hex3268e9b45

13531781957 has 2 divisors, whose sum is σ = 13531781958. Its totient is φ = 13531781956.

The previous prime is 13531781927. The next prime is 13531782023. The reversal of 13531781957 is 75918713531.

13531781957 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., 13531738276 + 43681 = 116326^2 + 209^2 .

It is a cyclic number.

It is not a de Polignac number, because 13531781957 - 222 = 13527587653 is a prime.

It is a super-3 number, since 3×135317819573 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13531781917) 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, 6765890978 + 6765890979.

It is an arithmetic number, because the mean of its divisors is an integer number (6765890979).

Almost surely, 213531781957 is an apocalyptic number.

It is an amenable number.

13531781957 is a deficient number, since it is larger than the sum of its proper divisors (1).

13531781957 is an equidigital number, since it uses as much as digits as its factorization.

13531781957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 793800, while the sum is 50.

The spelling of 13531781957 in words is "thirteen billion, five hundred thirty-one million, seven hundred eighty-one thousand, nine hundred fifty-seven".