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1009252570009 is a prime number
BaseRepresentation
bin11101010111111000010…
…01000001001110011001
310120111001112202200102011
432223330021001032121
5113013422124220014
62051351053105521
7132626135204545
oct16537411011631
93514045680364
101009252570009
1135a026845772
121437247882a1
137423117b238
1436bc3206a25
151b3bdbd37c4
hexeafc241399

1009252570009 has 2 divisors, whose sum is σ = 1009252570010. Its totient is φ = 1009252570008.

The previous prime is 1009252569977. The next prime is 1009252570057. The reversal of 1009252570009 is 9000752529001.

1009252570009 is digitally balanced in base 2, 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., 741756730009 + 267495840000 = 861253^2 + 517200^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009252570009 - 25 = 1009252569977 is a prime.

It is not a weakly prime, because it can be changed into another prime (1009252573009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504626285004 + 504626285005.

It is an arithmetic number, because the mean of its divisors is an integer number (504626285005).

Almost surely, 21009252570009 is an apocalyptic number.

It is an amenable number.

1009252570009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009252570009 is an equidigital number, since it uses as much as digits as its factorization.

1009252570009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56700, while the sum is 40.

The spelling of 1009252570009 in words is "one trillion, nine billion, two hundred fifty-two million, five hundred seventy thousand, nine".