1353040611345 has 128 divisors (see below), whose sum is σ = 2644761600000. Its totient is φ = 653655598848.

The previous prime is 1353040611343. The next prime is 1353040611409. The reversal of 1353040611345 is 5431160403531.

1353040611345 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 0 + 4 + 0 + 611 + 34 + 5 = 666.

It is not a de Polignac number, because 1353040611345 - 2¹ = 1353040611343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1353040611343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7573356 + ... + 7749954.

It is an arithmetic number, because the mean of its divisors is an integer number (20662200000).

Almost surely, 2^{1353040611345} is an apocalyptic number.

1353040611345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1353040611345 is a deficient number, since it is larger than the sum of its proper divisors (1291720988655).

1353040611345 is a wasteful number, since it uses less digits than its factorization.

1353040611345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176764 (or 176758 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1353040611345 in words is "one trillion, three hundred fifty-three billion, forty million, six hundred eleven thousand, three hundred forty-five".