1385265442729 has 27 divisors (see below), whose sum is σ = 1619938426743. Its totient is φ = 1181134776528.

The previous prime is 1385265442711. The next prime is 1385265442753. The reversal of 1385265442729 is 9272445625831.

The square root of 1385265442729 is 1176973.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 238764163225 + 1146501279504 = 488635^2 + 1070748^2 .

It is not a de Polignac number, because 1385265442729 - 2³⁷ = 1247826489257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1385265442829) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2282150344 + ... + 2282150950.

It is an arithmetic number, because the mean of its divisors is an integer number (59997719509).

Almost surely, 2^{1385265442729} is an apocalyptic number.

1385265442729 is the 1176973-rd square number.

1385265442729 is the 588487-th centered octagonal number.

It is an amenable number.

1385265442729 is a deficient number, since it is larger than the sum of its proper divisors (234672984014).

1385265442729 is an frugal number, since it uses more digits than its factorization.

1385265442729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 891 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 58.

The spelling of 1385265442729 in words is "one trillion, three hundred eighty-five billion, two hundred sixty-five million, four hundred forty-two thousand, seven hundred twenty-nine".