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405125377 is a prime number
BaseRepresentation
bin11000001001011…
…011100100000001
31001020022111112121
4120021123210001
51312203003002
6104111124241
713016336356
oct3011334401
91036274477
10405125377
11198756768
12b3813681
1365c17477
143bb3a62d
1525877237
hex1825b901

405125377 has 2 divisors, whose sum is σ = 405125378. Its totient is φ = 405125376.

The previous prime is 405125341. The next prime is 405125401. The reversal of 405125377 is 773521504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 390102001 + 15023376 = 19751^2 + 3876^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-405125377 is a prime.

It is not a weakly prime, because it can be changed into another prime (405125327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202562688 + 202562689.

It is an arithmetic number, because the mean of its divisors is an integer number (202562689).

Almost surely, 2405125377 is an apocalyptic number.

It is an amenable number.

405125377 is a deficient number, since it is larger than the sum of its proper divisors (1).

405125377 is an equidigital number, since it uses as much as digits as its factorization.

405125377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 405125377 is about 20127.7265730633. The cubic root of 405125377 is about 739.9399616496.

The spelling of 405125377 in words is "four hundred five million, one hundred twenty-five thousand, three hundred seventy-seven".