1331035227025 has 135 divisors (see below), whose sum is σ = 2052784608819. Its totient is φ = 855919895040.

The previous prime is 1331035227019. The next prime is 1331035227047. The reversal of 1331035227025 is 5207225301331.

The square root of 1331035227025 is 1153705.

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 929251656529 + 401783570496 = 963977^2 + 633864^2 .

It is not a de Polignac number, because 1331035227025 - 2⁵ = 1331035226993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4805181187 + ... + 4805181463.

Almost surely, 2^{1331035227025} is an apocalyptic number.

1331035227025 is the 1153705-th square number.

1331035227025 is the 576853-rd centered octagonal number.

It is an amenable number.

1331035227025 is a deficient number, since it is larger than the sum of its proper divisors (721749381794).

1331035227025 is an frugal number, since it uses more digits than its factorization.

1331035227025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The spelling of 1331035227025 in words is "one trillion, three hundred thirty-one billion, thirty-five million, two hundred twenty-seven thousand, twenty-five".