1381147361 has 24 divisors (see below), whose sum is σ = 1564080000. Its totient is φ = 1217937600.

The previous prime is 1381147331. The next prime is 1381147367. The reversal of 1381147361 is 1637411831.

It is not a de Polignac number, because 1381147361 - 2²² = 1376953057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1381147367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 986540 + ... + 987938.

It is an arithmetic number, because the mean of its divisors is an integer number (65170000).

Almost surely, 2^1381147361 is an apocalyptic number.

1381147361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1381147361 is a deficient number, since it is larger than the sum of its proper divisors (182932639).

1381147361 is a wasteful number, since it uses less digits than its factorization.

1381147361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1650 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 1381147361 is about 37163.7909933849. The cubic root of 1381147361 is about 1113.6447464422.

The spelling of 1381147361 in words is "one billion, three hundred eighty-one million, one hundred forty-seven thousand, three hundred sixty-one".