2541472657 has 2 divisors, whose sum is σ = 2541472658. Its totient is φ = 2541472656.

The previous prime is 2541472651. The next prime is 2541472663. The reversal of 2541472657 is 7562741452.

It is a balanced prime because it is at equal distance from previous prime (2541472651) and next prime (2541472663).

It can be written as a sum of positive squares in only one way, i.e., 2089952656 + 451520001 = 45716^2 + 21249^2 .

It is a cyclic number.

It is not a de Polignac number, because 2541472657 - 2¹⁹ = 2540948369 is a prime.

It is not a weakly prime, because it can be changed into another prime (2541472651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270736328 + 1270736329.

It is an arithmetic number, because the mean of its divisors is an integer number (1270736329).

Almost surely, 2^2541472657 is an apocalyptic number.

It is an amenable number.

2541472657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2541472657 is an equidigital number, since it uses as much as digits as its factorization.

2541472657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 470400, while the sum is 43.

The square root of 2541472657 is about 50413.0207089399. The cubic root of 2541472657 is about 1364.6726273285.

The spelling of 2541472657 in words is "two billion, five hundred forty-one million, four hundred seventy-two thousand, six hundred fifty-seven".