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2157567001 is a prime number
BaseRepresentation
bin1000000010011001…
…1101110000011001
312120100211202111221
42000212131300121
513404314121001
6554032052041
7104316005542
oct20046356031
95510752457
102157567001
11a07988027
12502694021
13284cc5585
141667934c9
15c96391a1
hex8099dc19

2157567001 has 2 divisors, whose sum is σ = 2157567002. Its totient is φ = 2157567000.

The previous prime is 2157566993. The next prime is 2157567017. The reversal of 2157567001 is 1007657512.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1996302400 + 161264601 = 44680^2 + 12699^2 .

It is a cyclic number.

It is not a de Polignac number, because 2157567001 - 23 = 2157566993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2157567091) 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, 1078783500 + 1078783501.

It is an arithmetic number, because the mean of its divisors is an integer number (1078783501).

Almost surely, 22157567001 is an apocalyptic number.

It is an amenable number.

2157567001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2157567001 is an equidigital number, since it uses as much as digits as its factorization.

2157567001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14700, while the sum is 34.

The square root of 2157567001 is about 46449.6178778685. The cubic root of 2157567001 is about 1292.1752856158.

The spelling of 2157567001 in words is "two billion, one hundred fifty-seven million, five hundred sixty-seven thousand, one".