1353251466401 has 8 divisors (see below), whose sum is σ = 1399932049320. Its totient is φ = 1306571999488.

The previous prime is 1353251466337. The next prime is 1353251466419. The reversal of 1353251466401 is 1046641523531.

It can be written as a sum of positive squares in 4 ways, for example, as 867923277376 + 485328189025 = 931624^2 + 696655^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1353251466401 - 2⁶ = 1353251466337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1353251466431) 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 7 ways as a sum of consecutive naturals, for example, 2742905 + ... + 3198441.

It is an arithmetic number, because the mean of its divisors is an integer number (174991506165).

Almost surely, 2^{1353251466401} is an apocalyptic number.

It is an amenable number.

1353251466401 is a deficient number, since it is larger than the sum of its proper divisors (46680582919).

1353251466401 is a wasteful number, since it uses less digits than its factorization.

1353251466401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558003.

The product of its (nonzero) digits is 259200, while the sum is 41.

Adding to 1353251466401 its reverse (1046641523531), we get a palindrome (2399892989932).

The spelling of 1353251466401 in words is "one trillion, three hundred fifty-three billion, two hundred fifty-one million, four hundred sixty-six thousand, four hundred one".