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2553142413541 is a prime number
BaseRepresentation
bin100101001001110011001…
…001011000100011100101
3100001002002212212212211011
4211021303021120203211
5313312313424213131
65232521502342221
7352313151304606
oct45116311304345
910032085785734
102553142413541
118a4866372115
1235299628a971
131569b64aa155
148b8038bbdad
154662e2cb0b1
hex252732588e5

2553142413541 has 2 divisors, whose sum is σ = 2553142413542. Its totient is φ = 2553142413540.

The previous prime is 2553142413463. The next prime is 2553142413683. The reversal of 2553142413541 is 1453142413552.

2553142413541 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1456680024900 + 1096462388641 = 1206930^2 + 1047121^2 .

It is a cyclic number.

It is not a de Polignac number, because 2553142413541 - 211 = 2553142411493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2553142413494 and 2553142413503.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2553142410541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276571206770 + 1276571206771.

It is an arithmetic number, because the mean of its divisors is an integer number (1276571206771).

Almost surely, 22553142413541 is an apocalyptic number.

It is an amenable number.

2553142413541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2553142413541 is an equidigital number, since it uses as much as digits as its factorization.

2553142413541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288000, while the sum is 40.

The spelling of 2553142413541 in words is "two trillion, five hundred fifty-three billion, one hundred forty-two million, four hundred thirteen thousand, five hundred forty-one".