1305460512552 has 128 divisors (see below), whose sum is σ = 3953318400000. Its totient is φ = 350690331648.

The previous prime is 1305460512541. The next prime is 1305460512557. The reversal of 1305460512552 is 2552150645031.

It is a self number, because there is not a number n which added to its sum of digits gives 1305460512552.

It is not an unprimeable number, because it can be changed into a prime (1305460512557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2574949 + ... + 3039947.

It is an arithmetic number, because the mean of its divisors is an integer number (30885300000).

Almost surely, 2^{1305460512552} is an apocalyptic number.

1305460512552 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 1305460512552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976659200000).

1305460512552 is an abundant number, since it is smaller than the sum of its proper divisors (2647857887448).

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

1305460512552 is a wasteful number, since it uses less digits than its factorization.

1305460512552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466015 (or 466011 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 1305460512552 in words is "one trillion, three hundred five billion, four hundred sixty million, five hundred twelve thousand, five hundred fifty-two".