1315755480 has 128 divisors (see below), whose sum is σ = 4435845120. Its totient is φ = 309788160.

The previous prime is 1315755473. The next prime is 1315755481. The reversal of 1315755480 is 845575131.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315755481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17545 + ... + 54215.

It is an arithmetic number, because the mean of its divisors is an integer number (34655040).

Almost surely, 2^1315755480 is an apocalyptic number.

1315755480 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 1315755480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217922560).

1315755480 is an abundant number, since it is smaller than the sum of its proper divisors (3120089640).

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

1315755480 is a wasteful number, since it uses less digits than its factorization.

1315755480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36721 (or 36717 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The square root of 1315755480 is about 36273.3439318737. The cubic root of 1315755480 is about 1095.7842716577.

The spelling of 1315755480 in words is "one billion, three hundred fifteen million, seven hundred fifty-five thousand, four hundred eighty".