1353413463505 has 32 divisors (see below), whose sum is σ = 1657665868320. Its totient is φ = 1060425400320.

The previous prime is 1353413463497. The next prime is 1353413463511. The reversal of 1353413463505 is 5053643143531.

It can be written as a sum of positive squares in 16 ways, for example, as 267880775184 + 1085532688321 = 517572^2 + 1041889^2 .

It is not a de Polignac number, because 1353413463505 - 2³ = 1353413463497 is a prime.

It is an unprimeable number.

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, 632139735 + ... + 632141875.

It is an arithmetic number, because the mean of its divisors is an integer number (51802058385).

Almost surely, 2^{1353413463505} is an apocalyptic number.

It is an amenable number.

1353413463505 is a deficient number, since it is larger than the sum of its proper divisors (304252404815).

1353413463505 is a wasteful number, since it uses less digits than its factorization.

1353413463505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301.

The product of its (nonzero) digits is 972000, while the sum is 43.

The spelling of 1353413463505 in words is "one trillion, three hundred fifty-three billion, four hundred thirteen million, four hundred sixty-three thousand, five hundred five".