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4404125131253 is a prime number
BaseRepresentation
bin100000000010110101001…
…0100000110000111110101
3120121000211001102110011222
41000011222110012013311
51034124122013200003
613211121022040125
7633121216642631
oct100055224060765
916530731373158
104404125131253
111448862904151
125b1670719045
1325c3cbc5ab33
14113237309dc1
1579864ae4c38
hex4016a5061f5

4404125131253 has 2 divisors, whose sum is σ = 4404125131254. Its totient is φ = 4404125131252.

The previous prime is 4404125131169. The next prime is 4404125131267. The reversal of 4404125131253 is 3521315214044.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4170017211844 + 234107919409 = 2042062^2 + 483847^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4404125131253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4404125631253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2202062565626 + 2202062565627.

It is an arithmetic number, because the mean of its divisors is an integer number (2202062565627).

Almost surely, 24404125131253 is an apocalyptic number.

It is an amenable number.

4404125131253 is a deficient number, since it is larger than the sum of its proper divisors (1).

4404125131253 is an equidigital number, since it uses as much as digits as its factorization.

4404125131253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 4404125131253 in words is "four trillion, four hundred four billion, one hundred twenty-five million, one hundred thirty-one thousand, two hundred fifty-three".