1301616000 has 512 divisors, whose sum is σ = 5040921600. Its totient is φ = 329472000.

The previous prime is 1301615969. The next prime is 1301616013. The reversal of 1301616000 is 6161031.

1301616000 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 61 + 600 + 0 = 666.

It is a super-2 number, since 2×1301616000² = 3388408422912000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 9935935 + ... + 9936065.

It is an arithmetic number, because the mean of its divisors is an integer number (9845550).

Almost surely, 2^1301616000 is an apocalyptic number.

1301616000 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 1301616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520460800).

1301616000 is an abundant number, since it is smaller than the sum of its proper divisors (3739305600).

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

1301616000 is a wasteful number, since it uses less digits than its factorization.

1301616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1301616000 is about 36077.9156825890. The cubic root of 1301616000 is about 1091.8449242411.

Adding to 1301616000 its reverse (6161031), we get a palindrome (1307777031).

It can be divided in two parts, 130161 and 6000, that added together give a square (136161 = 369²).

The spelling of 1301616000 in words is "one billion, three hundred one million, six hundred sixteen thousand".