1301025534432 has 384 divisors, whose sum is σ = 4045255603200. Its totient is φ = 362267541504.

The previous prime is 1301025534401. The next prime is 1301025534439. The reversal of 1301025534432 is 2344355201031.

It is a junction number, because it is equal to n+sod(n) for n = 1301025534393 and 1301025534402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301025534439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 628817494 + ... + 628819562.

It is an arithmetic number, because the mean of its divisors is an integer number (10534519800).

Almost surely, 2^{1301025534432} is an apocalyptic number.

1301025534432 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 1301025534432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022627801600).

1301025534432 is an abundant number, since it is smaller than the sum of its proper divisors (2744230068768).

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

1301025534432 is a wasteful number, since it uses less digits than its factorization.

1301025534432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 1301025534432 in words is "one trillion, three hundred one billion, twenty-five million, five hundred thirty-four thousand, four hundred thirty-two".