2505672541 has 2 divisors, whose sum is σ = 2505672542. Its totient is φ = 2505672540.

The previous prime is 2505672527. The next prime is 2505672581. The reversal of 2505672541 is 1452765052.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2502100441 + 3572100 = 50021^2 + 1890^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505672541 - 2²³ = 2497283933 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 2505672541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2505672581) 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, 1252836270 + 1252836271.

It is an arithmetic number, because the mean of its divisors is an integer number (1252836271).

Almost surely, 2^2505672541 is an apocalyptic number.

It is an amenable number.

2505672541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505672541 is an equidigital number, since it uses as much as digits as its factorization.

2505672541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84000, while the sum is 37.

The square root of 2505672541 is about 50056.6932687328. The cubic root of 2505672541 is about 1358.2345425670.

The spelling of 2505672541 in words is "two billion, five hundred five million, six hundred seventy-two thousand, five hundred forty-one".