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1027457213 is a prime number
BaseRepresentation
bin111101001111011…
…100000010111101
32122121100020022212
4331033130002331
54101012112323
6245541550205
734314146036
oct7517340275
92577306285
101027457213
11487a778a2
12248115365
13134b31963
149a657a8d
1560306b78
hex3d3dc0bd

1027457213 has 2 divisors, whose sum is σ = 1027457214. Its totient is φ = 1027457212.

The previous prime is 1027457201. The next prime is 1027457227. The reversal of 1027457213 is 3127547201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 856030564 + 171426649 = 29258^2 + 13093^2 .

It is an emirp because it is prime and its reverse (3127547201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1027457213 - 212 = 1027453117 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1027457213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1027457293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 513728606 + 513728607.

It is an arithmetic number, because the mean of its divisors is an integer number (513728607).

Almost surely, 21027457213 is an apocalyptic number.

It is an amenable number.

1027457213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1027457213 is an equidigital number, since it uses as much as digits as its factorization.

1027457213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 1027457213 is about 32053.9734354417. The cubic root of 1027457213 is about 1009.0698926748.

The spelling of 1027457213 in words is "one billion, twenty-seven million, four hundred fifty-seven thousand, two hundred thirteen".