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2801137853 is a prime number
BaseRepresentation
bin1010011011110101…
…1111100010111101
321020012211112202102
42212331133202331
521214042402403
61141542034445
7126262164443
oct24675374275
97205745672
102801137853
111208195368
12662118a25
13358438127
141c803cb93
15115db1b88
hexa6f5f8bd

2801137853 has 2 divisors, whose sum is σ = 2801137854. Its totient is φ = 2801137852.

The previous prime is 2801137841. The next prime is 2801137891. The reversal of 2801137853 is 3587311082.

It is a happy number.

It is an a-pointer prime, because the next prime (2801137891) can be obtained adding 2801137853 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2584400569 + 216737284 = 50837^2 + 14722^2 .

It is a cyclic number.

It is not a de Polignac number, because 2801137853 - 24 = 2801137837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2801137553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1400568926 + 1400568927.

It is an arithmetic number, because the mean of its divisors is an integer number (1400568927).

Almost surely, 22801137853 is an apocalyptic number.

It is an amenable number.

2801137853 is a deficient number, since it is larger than the sum of its proper divisors (1).

2801137853 is an equidigital number, since it uses as much as digits as its factorization.

2801137853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 2801137853 is about 52925.7768294429. The cubic root of 2801137853 is about 1409.6506441281.

The spelling of 2801137853 in words is "two billion, eight hundred one million, one hundred thirty-seven thousand, eight hundred fifty-three".