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10257039361 is a prime number
BaseRepresentation
bin10011000110101111…
…00000000000000001
3222110211102120211201
421203113200000001
5132001300224421
64413443541201
7512115252562
oct114327400001
928424376751
1010257039361
114393916538
121ba308a801
13c76025c7a
146d4352169
15400732b91
hex2635e0001

10257039361 has 2 divisors, whose sum is σ = 10257039362. Its totient is φ = 10257039360.

The previous prime is 10257039343. The next prime is 10257039383. The reversal of 10257039361 is 16393075201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8071944336 + 2185095025 = 89844^2 + 46745^2 .

It is a cyclic number.

It is not a de Polignac number, because 10257039361 - 25 = 10257039329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10257039361.

It is not a weakly prime, because it can be changed into another prime (10257039761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5128519680 + 5128519681.

It is an arithmetic number, because the mean of its divisors is an integer number (5128519681).

It is a Proth number, since it is equal to 78255 ⋅ 217 + 1 and 78255 < 217.

Almost surely, 210257039361 is an apocalyptic number.

It is an amenable number.

10257039361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10257039361 is an equidigital number, since it uses as much as digits as its factorization.

10257039361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 37.

The spelling of 10257039361 in words is "ten billion, two hundred fifty-seven million, thirty-nine thousand, three hundred sixty-one".