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2048598053 is a prime number
BaseRepresentation
bin111101000011011…
…0010000000100101
312021202210120012222
41322012302000211
513143420114203
6535140322125
7101523540035
oct17206620045
95252716188
102048598053
11961420047
124920a3345
132685615c8
141561098c5
15becb2038
hex7a1b2025

2048598053 has 2 divisors, whose sum is σ = 2048598054. Its totient is φ = 2048598052.

The previous prime is 2048598023. The next prime is 2048598061. The reversal of 2048598053 is 3508958402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1210900804 + 837697249 = 34798^2 + 28943^2 .

It is a cyclic number.

It is not a de Polignac number, because 2048598053 - 216 = 2048532517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2048597995 and 2048598013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2048598023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1024299026 + 1024299027.

It is an arithmetic number, because the mean of its divisors is an integer number (1024299027).

Almost surely, 22048598053 is an apocalyptic number.

It is an amenable number.

2048598053 is a deficient number, since it is larger than the sum of its proper divisors (1).

2048598053 is an equidigital number, since it uses as much as digits as its factorization.

2048598053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 345600, while the sum is 44.

The square root of 2048598053 is about 45261.4411281833. The cubic root of 2048598053 is about 1270.0444428203.

The spelling of 2048598053 in words is "two billion, forty-eight million, five hundred ninety-eight thousand, fifty-three".