1656057560641 has 9 divisors (see below), whose sum is σ = 1820310233763. Its totient is φ = 1505494004520.

The previous prime is 1656057560587. The next prime is 1656057560671. The reversal of 1656057560641 is 1460657506561.

The square root of 1656057560641 is 1286879.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1654642296241 + 1415264400 = 1286329^2 + 37620^2 .

It is not a de Polignac number, because 1656057560641 - 2¹¹ = 1656057558593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1656057560671) 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 8 ways as a sum of consecutive naturals, for example, 14097175 + ... + 14214163.

Almost surely, 2^{1656057560641} is an apocalyptic number.

1656057560641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1656057560641 is the 1286879-th square number.

1656057560641 is the 643440-th centered octagonal number.

It is an amenable number.

1656057560641 is a deficient number, since it is larger than the sum of its proper divisors (164252673122).

1656057560641 is an frugal number, since it uses more digits than its factorization.

1656057560641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234000 (or 117000 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 52.

The spelling of 1656057560641 in words is "one trillion, six hundred fifty-six billion, fifty-seven million, five hundred sixty thousand, six hundred forty-one".