1305258265400 has 96 divisors (see below), whose sum is σ = 3048761786400. Its totient is φ = 519690547200.

The previous prime is 1305258265391. The next prime is 1305258265433. The reversal of 1305258265400 is 45628525031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128351516 + ... + 128361684.

It is an arithmetic number, because the mean of its divisors is an integer number (31757935275).

Almost surely, 2^{1305258265400} is an apocalyptic number.

1305258265400 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 1305258265400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524380893200).

1305258265400 is an abundant number, since it is smaller than the sum of its proper divisors (1743503521000).

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

1305258265400 is a wasteful number, since it uses less digits than its factorization.

1305258265400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13089 (or 13080 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

Adding to 1305258265400 its sum of digits (41), we get a square (1305258265441 = 1142479²).

The spelling of 1305258265400 in words is "one trillion, three hundred five billion, two hundred fifty-eight million, two hundred sixty-five thousand, four hundred".