1305615506130 has 96 divisors (see below), whose sum is σ = 3773650083840. Its totient is φ = 311015099520.

The previous prime is 1305615506071. The next prime is 1305615506131. The reversal of 1305615506130 is 316055165031.

1305615506130 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 6 + 15 + 506 + 130 = 666.

It is not an unprimeable number, because it can be changed into a prime (1305615506131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17962290 + ... + 18034829.

It is an arithmetic number, because the mean of its divisors is an integer number (39308855040).

Almost surely, 2^{1305615506130} is an apocalyptic number.

1305615506130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1305615506130 is an abundant number, since it is smaller than the sum of its proper divisors (2468034577710).

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

1305615506130 is a wasteful number, since it uses less digits than its factorization.

1305615506130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35997176 (or 35997173 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 1305615506130 in words is "one trillion, three hundred five billion, six hundred fifteen million, five hundred six thousand, one hundred thirty".