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10541456753 is a prime number
BaseRepresentation
bin10011101000101000…
…11101110101110001
31000012122121111011012
421310110131311301
5133042103104003
64502004000305
7522140622032
oct116424356561
930178544135
1010541456753
11451a417533
122062390095
13cbcc29199
1472002aa89
1541a6b48d8
hex27451dd71

10541456753 has 2 divisors, whose sum is σ = 10541456754. Its totient is φ = 10541456752.

The previous prime is 10541456699. The next prime is 10541456767. The reversal of 10541456753 is 35765414501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9795456784 + 745999969 = 98972^2 + 27313^2 .

It is an emirp because it is prime and its reverse (35765414501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10541456753 is a prime.

It is a super-2 number, since 2×105414567532 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10541456753.

It is not a weakly prime, because it can be changed into another prime (10541456773) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5270728376 + 5270728377.

It is an arithmetic number, because the mean of its divisors is an integer number (5270728377).

Almost surely, 210541456753 is an apocalyptic number.

It is an amenable number.

10541456753 is a deficient number, since it is larger than the sum of its proper divisors (1).

10541456753 is an equidigital number, since it uses as much as digits as its factorization.

10541456753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 10541456753 in words is "ten billion, five hundred forty-one million, four hundred fifty-six thousand, seven hundred fifty-three".