1381258560 has 448 divisors, whose sum is σ = 5140537344. Its totient is φ = 313477120.

The previous prime is 1381258559. The next prime is 1381258597. The reversal of 1381258560 is 658521831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29388457 + ... + 29388503.

Almost surely, 2^1381258560 is an apocalyptic number.

1381258560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570268672).

1381258560 is an abundant number, since it is smaller than the sum of its proper divisors (3759278784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1381258560 is a wasteful number, since it uses less digits than its factorization.

1381258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 1381258560 is about 37165.2870297002. The cubic root of 1381258560 is about 1113.6746329125.

The spelling of 1381258560 in words is "one billion, three hundred eighty-one million, two hundred fifty-eight thousand, five hundred sixty".