1353120301457 has 2 divisors, whose sum is σ = 1353120301458. Its totient is φ = 1353120301456.

The previous prime is 1353120301397. The next prime is 1353120301469. The reversal of 1353120301457 is 7541030213531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1351582955776 + 1537345681 = 1162576^2 + 39209^2 .

It is a cyclic number.

It is not a de Polignac number, because 1353120301457 - 2²⁸ = 1352851866001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1353120300457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 676560150728 + 676560150729.

It is an arithmetic number, because the mean of its divisors is an integer number (676560150729).

Almost surely, 2^{1353120301457} is an apocalyptic number.

It is an amenable number.

1353120301457 is a deficient number, since it is larger than the sum of its proper divisors (1).

1353120301457 is an equidigital number, since it uses as much as digits as its factorization.

1353120301457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 35.

Adding to 1353120301457 its reverse (7541030213531), we get a palindrome (8894150514988).

The spelling of 1353120301457 in words is "one trillion, three hundred fifty-three billion, one hundred twenty million, three hundred one thousand, four hundred fifty-seven".