1656754561 has 32 divisors (see below), whose sum is σ = 2164174848. Its totient is φ = 1229807040.

The previous prime is 1656754531. The next prime is 1656754573. The reversal of 1656754561 is 1654576561.

It is not a de Polignac number, because 1656754561 - 2¹⁵ = 1656721793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1656754531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463995 + ... + 467551.

It is an arithmetic number, because the mean of its divisors is an integer number (67630464).

Almost surely, 2^1656754561 is an apocalyptic number.

1656754561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1656754561 is a deficient number, since it is larger than the sum of its proper divisors (507420287).

1656754561 is a wasteful number, since it uses less digits than its factorization.

1656754561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861.

The product of its digits is 756000, while the sum is 46.

The square root of 1656754561 is about 40703.2500053743. The cubic root of 1656754561 is about 1183.2760063656.

It can be divided in two parts, 165675 and 4561, that added together give a triangular number (170236 = T₅₈₃).

The spelling of 1656754561 in words is "one billion, six hundred fifty-six million, seven hundred fifty-four thousand, five hundred sixty-one".