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2153305562641 is a prime number
BaseRepresentation
bin11111010101011011000…
…000110101111000010001
321121212001120022100022121
4133111123000311320101
5240234432211001031
64325114231134241
7311366630200132
oct37253300657021
97555046270277
102153305562641
11760236943092
122a93a9814381
131280958c2a4c
1476313267c89
153b02bdad011
hex1f55b035e11

2153305562641 has 2 divisors, whose sum is σ = 2153305562642. Its totient is φ = 2153305562640.

The previous prime is 2153305562561. The next prime is 2153305562659. The reversal of 2153305562641 is 1462655033512.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1687777731025 + 465527831616 = 1299145^2 + 682296^2 .

It is a cyclic number.

It is not a de Polignac number, because 2153305562641 - 235 = 2118945824273 is a prime.

It is a super-2 number, since 2×21533055626412 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2153305562741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1076652781320 + 1076652781321.

It is an arithmetic number, because the mean of its divisors is an integer number (1076652781321).

Almost surely, 22153305562641 is an apocalyptic number.

It is an amenable number.

2153305562641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2153305562641 is an equidigital number, since it uses as much as digits as its factorization.

2153305562641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 2153305562641 in words is "two trillion, one hundred fifty-three billion, three hundred five million, five hundred sixty-two thousand, six hundred forty-one".