1325351235121 has 27 divisors (see below), whose sum is σ = 1392925336257. Its totient is φ = 1261021151040.

The previous prime is 1325351235107. The next prime is 1325351235139. The reversal of 1325351235121 is 1215321535231.

The square root of 1325351235121 is 1151239.

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

It can be written as a sum of positive squares in 4 ways, for example, as 742931944225 + 582419290896 = 861935^2 + 763164^2 .

It is not a de Polignac number, because 1325351235121 - 2⁷ = 1325351234993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1325351205121) 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, 2029634031 + ... + 2029634683.

Almost surely, 2^{1325351235121} is an apocalyptic number.

1325351235121 is the 1151239-th square number.

1325351235121 is the 575620-th centered octagonal number.

It is an amenable number.

1325351235121 is a deficient number, since it is larger than the sum of its proper divisors (67574101136).

1325351235121 is an frugal number, since it uses more digits than its factorization.

1325351235121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 737 counting only the distinct ones).

The product of its digits is 27000, while the sum is 34.

The spelling of 1325351235121 in words is "one trillion, three hundred twenty-five billion, three hundred fifty-one million, two hundred thirty-five thousand, one hundred twenty-one".