1315198080 has 512 divisors, whose sum is σ = 5428684800. Its totient is φ = 294727680.

The previous prime is 1315198051. The next prime is 1315198109. The reversal of 1315198080 is 808915131.

1315198080 is a `hidden beast` number, since 131 + 519 + 8 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1315198051) and next prime (1315198109).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10039615 + ... + 10039745.

It is an arithmetic number, because the mean of its divisors is an integer number (10602900).

Almost surely, 2^1315198080 is an apocalyptic number.

1315198080 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 1315198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714342400).

1315198080 is an abundant number, since it is smaller than the sum of its proper divisors (4113486720).

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

1315198080 is a wasteful number, since it uses less digits than its factorization.

1315198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 1315198080 is about 36265.6597899445. The cubic root of 1315198080 is about 1095.6295122987.

The spelling of 1315198080 in words is "one billion, three hundred fifteen million, one hundred ninety-eight thousand, eighty".