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2581122439001 is a prime number
BaseRepresentation
bin100101100011110110111…
…000101101011101011001
3100010202022212020110001102
4211203312320231131121
5314242114321022001
65253430135401145
7354323422510061
oct45436670553531
910122285213042
102581122439001
119057143663a7
123582a48231b5
13159525223232
148ccd994c3a1
154721a8e8e6b
hex258f6e2d759

2581122439001 has 2 divisors, whose sum is σ = 2581122439002. Its totient is φ = 2581122439000.

The previous prime is 2581122438959. The next prime is 2581122439039. The reversal of 2581122439001 is 1009342211852.

It is an a-pointer prime, because the next prime (2581122439039) can be obtained adding 2581122439001 to its sum of digits (38).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1562387502025 + 1018734936976 = 1249955^2 + 1009324^2 .

It is a cyclic number.

It is not a de Polignac number, because 2581122439001 - 214 = 2581122422617 is a prime.

It is a super-2 number, since 2×25811224390012 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2581122439201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1290561219500 + 1290561219501.

It is an arithmetic number, because the mean of its divisors is an integer number (1290561219501).

Almost surely, 22581122439001 is an apocalyptic number.

It is an amenable number.

2581122439001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2581122439001 is an equidigital number, since it uses as much as digits as its factorization.

2581122439001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 2581122439001 in words is "two trillion, five hundred eighty-one billion, one hundred twenty-two million, four hundred thirty-nine thousand, one".