1303653106560 has 768 divisors, whose sum is σ = 4924839398400. Its totient is φ = 293264670720.

The previous prime is 1303653106519. The next prime is 1303653106577. The reversal of 1303653106560 is 656013563031.

It is a super-2 number, since 2×1303653106560² (a number of 25 digits) contains 22 as substring.

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, 2291129956 + ... + 2291130524.

It is an arithmetic number, because the mean of its divisors is an integer number (6412551300).

Almost surely, 2^{1303653106560} is an apocalyptic number.

1303653106560 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 1303653106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462419699200).

1303653106560 is an abundant number, since it is smaller than the sum of its proper divisors (3621186291840).

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

1303653106560 is an frugal number, since it uses more digits than its factorization.

1303653106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 39.

Adding to 1303653106560 its reverse (656013563031), we get a palindrome (1959666669591).

The spelling of 1303653106560 in words is "one trillion, three hundred three billion, six hundred fifty-three million, one hundred six thousand, five hundred sixty".