1353378369825 has 18 divisors (see below), whose sum is σ = 2424051036134. Its totient is φ = 721801797120.

The previous prime is 1353378369817. The next prime is 1353378369841. The reversal of 1353378369825 is 5289638733531.

1353378369825 is a `hidden beast` number, since 1 + 3 + 533 + 7 + 8 + 3 + 6 + 98 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 97636251024 + 1255742118801 = 312468^2 + 1120599^2 .

It is not a de Polignac number, because 1353378369825 - 2³ = 1353378369817 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3007507264 + ... + 3007507713.

Almost surely, 2^{1353378369825} is an apocalyptic number.

1353378369825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1353378369825 is a deficient number, since it is larger than the sum of its proper divisors (1070672666309).

1353378369825 is a wasteful number, since it uses less digits than its factorization.

1353378369825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6015014993 (or 6015014985 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 1353378369825 in words is "one trillion, three hundred fifty-three billion, three hundred seventy-eight million, three hundred sixty-nine thousand, eight hundred twenty-five".