2585973541 has 2 divisors, whose sum is σ = 2585973542. Its totient is φ = 2585973540.

The previous prime is 2585973497. The next prime is 2585973563. The reversal of 2585973541 is 1453795852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1324232100 + 1261741441 = 36390^2 + 35521^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2585973541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2582973541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292986770 + 1292986771.

It is an arithmetic number, because the mean of its divisors is an integer number (1292986771).

Almost surely, 2^2585973541 is an apocalyptic number.

It is an amenable number.

2585973541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585973541 is an equidigital number, since it uses as much as digits as its factorization.

2585973541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1512000, while the sum is 49.

The square root of 2585973541 is about 50852.4683865002. The cubic root of 2585973541 is about 1372.5916702595.

The spelling of 2585973541 in words is "two billion, five hundred eighty-five million, nine hundred seventy-three thousand, five hundred forty-one".