2547261601 has 2 divisors, whose sum is σ = 2547261602. Its totient is φ = 2547261600.

The previous prime is 2547261557. The next prime is 2547261611. The reversal of 2547261601 is 1061627452.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2107269025 + 439992576 = 45905^2 + 20976^2 .

It is a cyclic number.

It is not a de Polignac number, because 2547261601 - 2¹³ = 2547253409 is a prime.

It is not a weakly prime, because it can be changed into another prime (2547261611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1273630800 + 1273630801.

It is an arithmetic number, because the mean of its divisors is an integer number (1273630801).

Almost surely, 2^2547261601 is an apocalyptic number.

It is an amenable number.

2547261601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2547261601 is an equidigital number, since it uses as much as digits as its factorization.

2547261601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 2547261601 is about 50470.4032181238. The cubic root of 2547261601 is about 1365.7079880384.

The spelling of 2547261601 in words is "two billion, five hundred forty-seven million, two hundred sixty-one thousand, six hundred one".