1351753264017 has 48 divisors (see below), whose sum is σ = 2183742328768. Its totient is φ = 800375748480.

The previous prime is 1351753263901. The next prime is 1351753264019. The reversal of 1351753264017 is 7104623571531.

1351753264017 is a `hidden beast` number, since 1 + 3 + 51 + 7 + 532 + 64 + 0 + 1 + 7 = 666.

It is not a de Polignac number, because 1351753264017 - 2²⁷ = 1351619046289 is a prime.

It is a super-2 number, since 2×1351753264017² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1351753264019) 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 47 ways as a sum of consecutive naturals, for example, 1668034 + ... + 2342187.

Almost surely, 2^{1351753264017} is an apocalyptic number.

It is an amenable number.

1351753264017 is a deficient number, since it is larger than the sum of its proper divisors (831989064751).

1351753264017 is a wasteful number, since it uses less digits than its factorization.

1351753264017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010350 (or 4010347 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 1351753264017 in words is "one trillion, three hundred fifty-one billion, seven hundred fifty-three million, two hundred sixty-four thousand, seventeen".