1305506231552 has 72 divisors (see below), whose sum is σ = 2644517715840. Its totient is φ = 643096258560.

The previous prime is 1305506231551. The next prime is 1305506231563. The reversal of 1305506231552 is 2551326055031.

It is a super-2 number, since 2×1305506231552² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305506231551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25948373 + ... + 25998635.

It is an arithmetic number, because the mean of its divisors is an integer number (36729412720).

Almost surely, 2^{1305506231552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305506231552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322258857920).

1305506231552 is an abundant number, since it is smaller than the sum of its proper divisors (1339011484288).

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

1305506231552 is an equidigital number, since it uses as much as digits as its factorization.

1305506231552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51779 (or 51765 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 38.

The spelling of 1305506231552 in words is "one trillion, three hundred five billion, five hundred six million, two hundred thirty-one thousand, five hundred fifty-two".