1405384656953 has 2 divisors, whose sum is σ = 1405384656954. Its totient is φ = 1405384656952.

The previous prime is 1405384656947. The next prime is 1405384657003. The reversal of 1405384656953 is 3596564835041.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1367898663184 + 37485993769 = 1169572^2 + 193613^2 .

It is a cyclic number.

It is not a de Polignac number, because 1405384656953 - 2²⁴ = 1405367879737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1405384656892 and 1405384656901.

It is not a weakly prime, because it can be changed into another prime (1405384656553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 702692328476 + 702692328477.

It is an arithmetic number, because the mean of its divisors is an integer number (702692328477).

Almost surely, 2^{1405384656953} is an apocalyptic number.

It is an amenable number.

1405384656953 is a deficient number, since it is larger than the sum of its proper divisors (1).

1405384656953 is an equidigital number, since it uses as much as digits as its factorization.

1405384656953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656000, while the sum is 59.

The spelling of 1405384656953 in words is "one trillion, four hundred five billion, three hundred eighty-four million, six hundred fifty-six thousand, nine hundred fifty-three".