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10257166009 is a prime number
BaseRepresentation
bin10011000110101111…
…11110111010111001
3222110211200000120101
421203113332322321
5132001313303014
64413450355401
7512116321036
oct114327767271
928424600511
1010257166009
1143939a2702
121ba312bb61
13c7606b7cc
146d438638d
1540075a474
hex2635feeb9

10257166009 has 2 divisors, whose sum is σ = 10257166010. Its totient is φ = 10257166008.

The previous prime is 10257165983. The next prime is 10257166039. The reversal of 10257166009 is 90066175201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5817875625 + 4439290384 = 76275^2 + 66628^2 .

It is a cyclic number.

It is not a de Polignac number, because 10257166009 - 29 = 10257165497 is a prime.

It is not a weakly prime, because it can be changed into another prime (10257166039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5128583004 + 5128583005.

It is an arithmetic number, because the mean of its divisors is an integer number (5128583005).

Almost surely, 210257166009 is an apocalyptic number.

It is an amenable number.

10257166009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10257166009 is an equidigital number, since it uses as much as digits as its factorization.

10257166009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 10257166009 in words is "ten billion, two hundred fifty-seven million, one hundred sixty-six thousand, nine".