1305616403052 has 192 divisors, whose sum is σ = 3734260992000. Its totient is φ = 391946397696.

The previous prime is 1305616403017. The next prime is 1305616403071. The reversal of 1305616403052 is 2503046165031.

1305616403052 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 6 + 1 + 640 + 3 + 0 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1305616402998 and 1305616403016.

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, 56073949 + ... + 56097227.

It is an arithmetic number, because the mean of its divisors is an integer number (19449276000).

Almost surely, 2^{1305616403052} is an apocalyptic number.

1305616403052 is a gapful number since it is divisible by the number (12) 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 1305616403052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867130496000).

1305616403052 is an abundant number, since it is smaller than the sum of its proper divisors (2428644588948).

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

1305616403052 is a wasteful number, since it uses less digits than its factorization.

1305616403052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24277 (or 24269 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1305616403052 in words is "one trillion, three hundred five billion, six hundred sixteen million, four hundred three thousand, fifty-two".