1351534128025 has 81 divisors (see below), whose sum is σ = 1767312839383. Its totient is φ = 1025280505600.

The previous prime is 1351534127969. The next prime is 1351534128029. The reversal of 1351534128025 is 5208214351531.

The square root of 1351534128025 is 1162555.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1227156588441 + 124377539584 = 1107771^2 + 352672^2 .

It is not a de Polignac number, because 1351534128025 - 2²⁵ = 1351500573593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1351534128029) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 12631160022 + ... + 12631160128.

Almost surely, 2^{1351534128025} is an apocalyptic number.

1351534128025 is the 1162555-th square number.

1351534128025 is the 581278-th centered octagonal number.

It is an amenable number.

1351534128025 is a deficient number, since it is larger than the sum of its proper divisors (415778711358).

1351534128025 is an frugal number, since it uses more digits than its factorization.

1351534128025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

Adding to 1351534128025 its reverse (5208214351531), we get a palindrome (6559748479556).

The spelling of 1351534128025 in words is "one trillion, three hundred fifty-one billion, five hundred thirty-four million, one hundred twenty-eight thousand, twenty-five".