1313552240 has 320 divisors, whose sum is σ = 4199731200. Its totient is φ = 368824320.

The previous prime is 1313552239. The next prime is 1313552257. The reversal of 1313552240 is 422553131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3763586 + ... + 3763934.

It is an arithmetic number, because the mean of its divisors is an integer number (13124160).

Almost surely, 2^1313552240 is an apocalyptic number.

1313552240 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 1313552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099865600).

1313552240 is an abundant number, since it is smaller than the sum of its proper divisors (2886178960).

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

1313552240 is a wasteful number, since it uses less digits than its factorization.

1313552240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 1313552240 is about 36242.9612476685. The cubic root of 1313552240 is about 1095.1722976237.

The spelling of 1313552240 in words is "one billion, three hundred thirteen million, five hundred fifty-two thousand, two hundred forty".