1313825193 has 36 divisors (see below), whose sum is σ = 2018228940. Its totient is φ = 822600576.

The previous prime is 1313825173. The next prime is 1313825257. The reversal of 1313825193 is 3915283131.

1313825193 is a `hidden beast` number, since 1 + 3 + 138 + 2 + 519 + 3 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 452285289 + 861539904 = 21267^2 + 29352^2 .

It is not a de Polignac number, because 1313825193 - 2⁸ = 1313824937 is a prime.

It is a super-2 number, since 2×1313825193² = 3452273275522974498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313825173) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 355471 + ... + 359147.

It is an arithmetic number, because the mean of its divisors is an integer number (56061915).

Almost surely, 2^1313825193 is an apocalyptic number.

It is an amenable number.

1313825193 is a deficient number, since it is larger than the sum of its proper divisors (704403747).

1313825193 is a wasteful number, since it uses less digits than its factorization.

1313825193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3746 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 1313825193 is about 36246.7266522096. The cubic root of 1313825193 is about 1095.2481504275.

The spelling of 1313825193 in words is "one billion, three hundred thirteen million, eight hundred twenty-five thousand, one hundred ninety-three".