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1601153216441 is a prime number
BaseRepresentation
bin10111010011001100001…
…010110010111110111001
312200001212010020221112022
4113103030022302332321
5202213130210411231
63223320514124225
7223452032532062
oct27231412627671
95601763227468
101601153216441
11568055281029
1221a392b80675
13b7cacb1a12c
14576d391d569
152b9b297cc7b
hex174cc2b2fb9

1601153216441 has 2 divisors, whose sum is σ = 1601153216442. Its totient is φ = 1601153216440.

The previous prime is 1601153216419. The next prime is 1601153216473. The reversal of 1601153216441 is 1446123511061.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1356898819600 + 244254396841 = 1164860^2 + 494221^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1601153216441 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1601153216401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 800576608220 + 800576608221.

It is an arithmetic number, because the mean of its divisors is an integer number (800576608221).

Almost surely, 21601153216441 is an apocalyptic number.

It is an amenable number.

1601153216441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1601153216441 is an equidigital number, since it uses as much as digits as its factorization.

1601153216441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 1601153216441 in words is "one trillion, six hundred one billion, one hundred fifty-three million, two hundred sixteen thousand, four hundred forty-one".