1381617520 has 80 divisors (see below), whose sum is σ = 3305583072. Its totient is φ = 536739840.

The previous prime is 1381617511. The next prime is 1381617551. The reversal of 1381617520 is 257161831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662880 + ... + 664960.

Almost surely, 2^1381617520 is an apocalyptic number.

1381617520 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 1381617520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652791536).

1381617520 is an abundant number, since it is smaller than the sum of its proper divisors (1923965552).

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

1381617520 is a wasteful number, since it uses less digits than its factorization.

1381617520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 1381617520 is about 37170.1159535453. The cubic root of 1381617520 is about 1113.7710980815.

The spelling of 1381617520 in words is "one billion, three hundred eighty-one million, six hundred seventeen thousand, five hundred twenty".