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407253541141 is a prime number
BaseRepresentation
bin1011110110100100011…
…00111110000100010101
31102221012012101102211201
411323102030332010111
523133023401304031
6511031212432501
741265056661166
oct5732214760425
91387165342751
10407253541141
111477960091a7
1266b18478731
132c533326715
14159d567b76d
15a8d85e5d61
hex5ed233e115

407253541141 has 2 divisors, whose sum is σ = 407253541142. Its totient is φ = 407253541140.

The previous prime is 407253541109. The next prime is 407253541171. The reversal of 407253541141 is 141145352704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 324277858116 + 82975683025 = 569454^2 + 288055^2 .

It is a cyclic number.

It is not a de Polignac number, because 407253541141 - 25 = 407253541109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 407253541141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407253541171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203626770570 + 203626770571.

It is an arithmetic number, because the mean of its divisors is an integer number (203626770571).

Almost surely, 2407253541141 is an apocalyptic number.

It is an amenable number.

407253541141 is a deficient number, since it is larger than the sum of its proper divisors (1).

407253541141 is an equidigital number, since it uses as much as digits as its factorization.

407253541141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 67200, while the sum is 37.

Adding to 407253541141 its reverse (141145352704), we get a palindrome (548398893845).

The spelling of 407253541141 in words is "four hundred seven billion, two hundred fifty-three million, five hundred forty-one thousand, one hundred forty-one".