1305630100600 has 384 divisors, whose sum is σ = 3632617497600. Its totient is φ = 427103539200.

The previous prime is 1305630100583. The next prime is 1305630100717. The reversal of 1305630100600 is 60010365031.

It is a super-2 number, since 2×1305630100600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1420706941 + ... + 1420707859.

It is an arithmetic number, because the mean of its divisors is an integer number (9459941400).

Almost surely, 2^{1305630100600} is an apocalyptic number.

1305630100600 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 1305630100600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816308748800).

1305630100600 is an abundant number, since it is smaller than the sum of its proper divisors (2326987397000).

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

1305630100600 is a wasteful number, since it uses less digits than its factorization.

1305630100600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

Adding to 1305630100600 its reverse (60010365031), we get a palindrome (1365640465631).

The spelling of 1305630100600 in words is "one trillion, three hundred five billion, six hundred thirty million, one hundred thousand, six hundred".