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1041535200161 is a prime number
BaseRepresentation
bin11110010100000000101…
…01011110101110100001
310200120101101020012200202
433022000111132232201
5114031031002401121
62114250305554545
7135151133062031
oct17120025365641
93616341205622
101041535200161
113717925165a5
12149a34045a55
13772a7416261
14385a687b8c1
151c15cdec40b
hexf28055eba1

1041535200161 has 2 divisors, whose sum is σ = 1041535200162. Its totient is φ = 1041535200160.

The previous prime is 1041535200107. The next prime is 1041535200191. The reversal of 1041535200161 is 1610025351401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 997411677025 + 44123523136 = 998705^2 + 210056^2 .

It is an emirp because it is prime and its reverse (1610025351401) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1041535200161 is a prime.

It is not a weakly prime, because it can be changed into another prime (1041535200191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 520767600080 + 520767600081.

It is an arithmetic number, because the mean of its divisors is an integer number (520767600081).

Almost surely, 21041535200161 is an apocalyptic number.

It is an amenable number.

1041535200161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1041535200161 is an equidigital number, since it uses as much as digits as its factorization.

1041535200161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 1041535200161 in words is "one trillion, forty-one billion, five hundred thirty-five million, two hundred thousand, one hundred sixty-one".