1351661506656 has 24 divisors (see below), whose sum is σ = 3548111455224. Its totient is φ = 450553835520.

The previous prime is 1351661506651. The next prime is 1351661506673. The reversal of 1351661506656 is 6566051661531.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1351661506599 and 1351661506608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351661506651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7039903585 + ... + 7039903776.

It is an arithmetic number, because the mean of its divisors is an integer number (147837977301).

Almost surely, 2^{1351661506656} is an apocalyptic number.

1351661506656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1351661506656 is an abundant number, since it is smaller than the sum of its proper divisors (2196449948568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1351661506656 is a wasteful number, since it uses less digits than its factorization.

1351661506656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14079807374 (or 14079807366 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 51.

The spelling of 1351661506656 in words is "one trillion, three hundred fifty-one billion, six hundred sixty-one million, five hundred six thousand, six hundred fifty-six".