1353305456457 has 8 divisors (see below), whose sum is σ = 1910548879776. Its totient is φ = 849132835392.

The previous prime is 1353305456429. The next prime is 1353305456471. The reversal of 1353305456457 is 7546545033531.

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

It is not a de Polignac number, because 1353305456457 - 2¹⁸ = 1353305194313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51), and also a Moran number because the ratio is a prime number: 26535401107 = 1353305456457 / (1 + 3 + 5 + 3 + 3 + 0 + 5 + 4 + 5 + 6 + 4 + 5 + 7).

It is not an unprimeable number, because it can be changed into a prime (1353305456407) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13267700503 + ... + 13267700604.

It is an arithmetic number, because the mean of its divisors is an integer number (238818609972).

Almost surely, 2^{1353305456457} is an apocalyptic number.

1353305456457 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1353305456457 is a deficient number, since it is larger than the sum of its proper divisors (557243423319).

1353305456457 is a wasteful number, since it uses less digits than its factorization.

1353305456457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26535401127.

The product of its (nonzero) digits is 11340000, while the sum is 51.

The spelling of 1353305456457 in words is "one trillion, three hundred fifty-three billion, three hundred five million, four hundred fifty-six thousand, four hundred fifty-seven".