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153365442053 is a prime number
BaseRepresentation
bin1000111011010101001…
…0101110111000000101
3112122212022010200110112
42032311102232320011
510003043023121203
6154242145402405
714036352514445
oct2166522567005
9478768120415
10153365442053
115a05088061a
1225881939405
13116018957a5
1475cc724125
153ec92ac6d8
hex23b54aee05

153365442053 has 2 divisors, whose sum is σ = 153365442054. Its totient is φ = 153365442052.

The previous prime is 153365441959. The next prime is 153365442133. The reversal of 153365442053 is 350244563351.

153365442053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123792792964 + 29572649089 = 351842^2 + 171967^2 .

It is a cyclic number.

It is not a de Polignac number, because 153365442053 - 28 = 153365441797 is a prime.

It is a super-2 number, since 2×1533654420532 (a number of 23 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 153365442053.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153365442253) 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, 76682721026 + 76682721027.

It is an arithmetic number, because the mean of its divisors is an integer number (76682721027).

Almost surely, 2153365442053 is an apocalyptic number.

It is an amenable number.

153365442053 is a deficient number, since it is larger than the sum of its proper divisors (1).

153365442053 is an equidigital number, since it uses as much as digits as its factorization.

153365442053 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 41.

The spelling of 153365442053 in words is "one hundred fifty-three billion, three hundred sixty-five million, four hundred forty-two thousand, fifty-three".