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541400412613 is a prime number
BaseRepresentation
bin1111110000011011111…
…10101011000111000101
31220202110010101120200211
413320031332223013011
532332242001200423
61052414345435421
754054256401634
oct7701576530705
91822403346624
10541400412613
11199674467235
1288b15a9bb71
133c091394848
141c2bd7ad51b
15e13a54210d
hex7e0dfab1c5

541400412613 has 2 divisors, whose sum is σ = 541400412614. Its totient is φ = 541400412612.

The previous prime is 541400412607. The next prime is 541400412647. The reversal of 541400412613 is 316214004145.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 466957655649 + 74442756964 = 683343^2 + 272842^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-541400412613 is a prime.

It is a super-2 number, since 2×5414004126132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (541400412913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270700206306 + 270700206307.

It is an arithmetic number, because the mean of its divisors is an integer number (270700206307).

Almost surely, 2541400412613 is an apocalyptic number.

It is an amenable number.

541400412613 is a deficient number, since it is larger than the sum of its proper divisors (1).

541400412613 is an equidigital number, since it uses as much as digits as its factorization.

541400412613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 541400412613 its reverse (316214004145), we get a palindrome (857614416758).

The spelling of 541400412613 in words is "five hundred forty-one billion, four hundred million, four hundred twelve thousand, six hundred thirteen".