1313957541 has 16 divisors (see below), whose sum is σ = 1890443520. Its totient is φ = 806988480.

The previous prime is 1313957527. The next prime is 1313957573. The reversal of 1313957541 is 1457593131.

It is not a de Polignac number, because 1313957541 - 2¹³ = 1313949349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1313957541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313957741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13245 + ... + 52946.

It is an arithmetic number, because the mean of its divisors is an integer number (118152720).

Almost surely, 2^1313957541 is an apocalyptic number.

It is an amenable number.

1313957541 is a deficient number, since it is larger than the sum of its proper divisors (576485979).

1313957541 is a wasteful number, since it uses less digits than its factorization.

1313957541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66716.

The product of its digits is 56700, while the sum is 39.

The square root of 1313957541 is about 36248.5522607455. The cubic root of 1313957541 is about 1095.2849257499.

The spelling of 1313957541 in words is "one billion, three hundred thirteen million, nine hundred fifty-seven thousand, five hundred forty-one".