1291057541 has 2 divisors, whose sum is σ = 1291057542. Its totient is φ = 1291057540.

The previous prime is 1291057513. The next prime is 1291057549. The reversal of 1291057541 is 1457501921.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1249905316 + 41152225 = 35354^2 + 6415^2 .

It is a cyclic number.

It is not a de Polignac number, because 1291057541 - 2⁶ = 1291057477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1291057549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 645528770 + 645528771.

It is an arithmetic number, because the mean of its divisors is an integer number (645528771).

Almost surely, 2^1291057541 is an apocalyptic number.

It is an amenable number.

1291057541 is a deficient number, since it is larger than the sum of its proper divisors (1).

1291057541 is an equidigital number, since it uses as much as digits as its factorization.

1291057541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12600, while the sum is 35.

The square root of 1291057541 is about 35931.2891641811. The cubic root of 1291057541 is about 1088.8846265236.

The spelling of 1291057541 in words is "one billion, two hundred ninety-one million, fifty-seven thousand, five hundred forty-one".