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1405137133 is a prime number
BaseRepresentation
bin101001111000000…
…1011000011101101
310121221000100210001
41103300023003231
510334203342013
6351232544301
746551316501
oct12360130355
93557010701
101405137133
11661188364
123326b2091
13195159aba
14d488c301
158355bddd
hex53c0b0ed

1405137133 has 2 divisors, whose sum is σ = 1405137134. Its totient is φ = 1405137132.

The previous prime is 1405137127. The next prime is 1405137221. The reversal of 1405137133 is 3317315041.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1138860009 + 266277124 = 33747^2 + 16318^2 .

It is an emirp because it is prime and its reverse (3317315041) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1405137133 - 213 = 1405128941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1405137103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 702568566 + 702568567.

It is an arithmetic number, because the mean of its divisors is an integer number (702568567).

Almost surely, 21405137133 is an apocalyptic number.

It is an amenable number.

1405137133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1405137133 is an equidigital number, since it uses as much as digits as its factorization.

1405137133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 1405137133 is about 37485.1588365316. The cubic root of 1405137133 is about 1120.0555704251.

The spelling of 1405137133 in words is "one billion, four hundred five million, one hundred thirty-seven thousand, one hundred thirty-three".