1600427302513 has 8 divisors (see below), whose sum is σ = 1727878503848. Its totient is φ = 1473596302464.

The previous prime is 1600427302489. The next prime is 1600427302519. The reversal of 1600427302513 is 3152037240061.

It can be written as a sum of positive squares in 4 ways, for example, as 222097297984 + 1378330004529 = 471272^2 + 1174023^2 .

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

It is not a de Polignac number, because 1600427302513 - 2³⁷ = 1462988349041 is a prime.

It is a super-3 number, since 3×1600427302513³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1600427302519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155044956 + ... + 155055277.

It is an arithmetic number, because the mean of its divisors is an integer number (215984812981).

Almost surely, 2^{1600427302513} is an apocalyptic number.

1600427302513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1600427302513 is a deficient number, since it is larger than the sum of its proper divisors (127451201335).

1600427302513 is a wasteful number, since it uses less digits than its factorization.

1600427302513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310100643.

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 1600427302513 in words is "one trillion, six hundred billion, four hundred twenty-seven million, three hundred two thousand, five hundred thirteen".