1405132313 has 8 divisors (see below), whose sum is σ = 1554117768. Its totient is φ = 1261989504.

The previous prime is 1405132303. The next prime is 1405132369. The reversal of 1405132313 is 3132315041.

It can be written as a sum of positive squares in 4 ways, for example, as 130142464 + 1274989849 = 11408^2 + 35707^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1405132313 - 2¹⁸ = 1404870169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1405132303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1460156 + ... + 1461117.

It is an arithmetic number, because the mean of its divisors is an integer number (194264721).

Almost surely, 2^1405132313 is an apocalyptic number.

1405132313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1405132313 is a deficient number, since it is larger than the sum of its proper divisors (148985455).

1405132313 is a wasteful number, since it uses less digits than its factorization.

1405132313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921323.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 1405132313 is about 37485.0945443652. The cubic root of 1405132313 is about 1120.0542897259.

Adding to 1405132313 its reverse (3132315041), we get a palindrome (4537447354).

It can be divided in two parts, 14051 and 32313, that added together give a palindrome (46364).

The spelling of 1405132313 in words is "one billion, four hundred five million, one hundred thirty-two thousand, three hundred thirteen".