1331035506125 has 32 divisors (see below), whose sum is σ = 1809012048480. Its totient is φ = 971874393600.

The previous prime is 1331035506113. The next prime is 1331035506127. The reversal of 1331035506125 is 5216055301331.

It can be written as a sum of positive squares in 16 ways, for example, as 1234261006729 + 96774499396 = 1110973^2 + 311086^2 .

It is not a de Polignac number, because 1331035506125 - 2¹⁶ = 1331035440589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331035506127) 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 31 ways as a sum of consecutive naturals, for example, 4457054 + ... + 4746303.

It is an arithmetic number, because the mean of its divisors is an integer number (56531626515).

Almost surely, 2^{1331035506125} is an apocalyptic number.

It is an amenable number.

1331035506125 is a deficient number, since it is larger than the sum of its proper divisors (477976542355).

1331035506125 is an equidigital number, since it uses as much as digits as its factorization.

1331035506125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9203474 (or 9203464 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 35.

The spelling of 1331035506125 in words is "one trillion, three hundred thirty-one billion, thirty-five million, five hundred six thousand, one hundred twenty-five".