1315651680 has 384 divisors, whose sum is σ = 5317401600. Its totient is φ = 297603072.

The previous prime is 1315651663. The next prime is 1315651699. The reversal of 1315651680 is 861565131.

1315651680 is a `hidden beast` number, since 1 + 3 + 1 + 565 + 16 + 80 = 666.

It is a super-5 number, since 5×1315651680⁵ (a number of 47 digits) contains 55555 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4203204 + ... + 4203516.

It is an arithmetic number, because the mean of its divisors is an integer number (13847400).

Almost surely, 2^1315651680 is an apocalyptic number.

1315651680 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 1315651680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658700800).

1315651680 is an abundant number, since it is smaller than the sum of its proper divisors (4001749920).

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

1315651680 is a wasteful number, since it uses less digits than its factorization.

1315651680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1315651680 is about 36271.9131009105. The cubic root of 1315651680 is about 1095.7554554123.

The spelling of 1315651680 in words is "one billion, three hundred fifteen million, six hundred fifty-one thousand, six hundred eighty".