2516544001 has 2 divisors, whose sum is σ = 2516544002. Its totient is φ = 2516544000.

The previous prime is 2516543963. The next prime is 2516544029. The reversal of 2516544001 is 1004456152.

It is an a-pointer prime, because the next prime (2516544029) can be obtained adding 2516544001 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1424307600 + 1092236401 = 37740^2 + 33049^2 .

It is a cyclic number.

It is not a de Polignac number, because 2516544001 - 2⁹ = 2516543489 is a prime.

It is not a weakly prime, because it can be changed into another prime (2516544031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1258272000 + 1258272001.

It is an arithmetic number, because the mean of its divisors is an integer number (1258272001).

Almost surely, 2^2516544001 is an apocalyptic number.

It is an amenable number.

2516544001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2516544001 is an equidigital number, since it uses as much as digits as its factorization.

2516544001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 2516544001 is about 50165.1672079342. The cubic root of 2516544001 is about 1360.1960503487.

The spelling of 2516544001 in words is "two billion, five hundred sixteen million, five hundred forty-four thousand, one".