1315641600 has 648 divisors, whose sum is σ = 5812252992. Its totient is φ = 276480000.

The previous prime is 1315641583. The next prime is 1315641629. The reversal of 1315641600 is 61465131.

1315641600 is a `hidden beast` number, since 1 + 3 + 1 + 56 + 4 + 1 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5241475 + ... + 5241725.

Almost surely, 2^1315641600 is an apocalyptic number.

1315641600 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 1315641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906126496).

1315641600 is an abundant number, since it is smaller than the sum of its proper divisors (4496611392).

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

1315641600 is a wasteful number, since it uses less digits than its factorization.

1315641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1315641600 is about 36271.7741501570. The cubic root of 1315641600 is about 1095.7526569909.

It can be divided in two parts, 13156 and 41600, that added together give a square (54756 = 234²).

The spelling of 1315641600 in words is "one billion, three hundred fifteen million, six hundred forty-one thousand, six hundred".