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2251403201513 is a prime number
BaseRepresentation
bin100000110000110010000…
…101101000101111101001
321222020021011022201200202
4200300302011220233221
5243341333204422023
64442140320041545
7321441604313234
oct40606205505751
97866234281622
102251403201513
117988a6460104
123044064632b5
131343ca252ccb
147ad7b7a841b
153d86e0c0128
hex20c32168be9

2251403201513 has 2 divisors, whose sum is σ = 2251403201514. Its totient is φ = 2251403201512.

The previous prime is 2251403201389. The next prime is 2251403201533. The reversal of 2251403201513 is 3151023041522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2054185497049 + 197217704464 = 1433243^2 + 444092^2 .

It is a cyclic number.

It is not a de Polignac number, because 2251403201513 - 224 = 2251386424297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2251403201533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1125701600756 + 1125701600757.

It is an arithmetic number, because the mean of its divisors is an integer number (1125701600757).

Almost surely, 22251403201513 is an apocalyptic number.

It is an amenable number.

2251403201513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2251403201513 is an equidigital number, since it uses as much as digits as its factorization.

2251403201513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 2251403201513 in words is "two trillion, two hundred fifty-one billion, four hundred three million, two hundred one thousand, five hundred thirteen".