1353040602225 has 192 divisors, whose sum is σ = 2614913468160. Its totient is φ = 611529523200.

The previous prime is 1353040602197. The next prime is 1353040602227. The reversal of 1353040602225 is 5222060403531.

It is a happy number.

It is not a de Polignac number, because 1353040602225 - 2⁶ = 1353040602161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1353040602227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176150385 + ... + 176158065.

It is an arithmetic number, because the mean of its divisors is an integer number (13619340980).

Almost surely, 2^{1353040602225} is an apocalyptic number.

1353040602225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1353040602225 is a deficient number, since it is larger than the sum of its proper divisors (1261872865935).

1353040602225 is a wasteful number, since it uses less digits than its factorization.

1353040602225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8020 (or 8015 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 1353040602225 in words is "one trillion, three hundred fifty-three billion, forty million, six hundred two thousand, two hundred twenty-five".