1540405313 has 2 divisors, whose sum is σ = 1540405314. Its totient is φ = 1540405312.

The previous prime is 1540405261. The next prime is 1540405333. The reversal of 1540405313 is 3135040451.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 901680784 + 638724529 = 30028^2 + 25273^2 .

It is a cyclic number.

It is not a de Polignac number, because 1540405313 - 2⁸ = 1540405057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1540405333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 770202656 + 770202657.

It is an arithmetic number, because the mean of its divisors is an integer number (770202657).

Almost surely, 2^1540405313 is an apocalyptic number.

It is an amenable number.

1540405313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1540405313 is an equidigital number, since it uses as much as digits as its factorization.

1540405313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 1540405313 is about 39247.9975667549. The cubic root of 1540405313 is about 1154.9016521396.

Adding to 1540405313 its reverse (3135040451), we get a palindrome (4675445764).

The spelling of 1540405313 in words is "one billion, five hundred forty million, four hundred five thousand, three hundred thirteen".