1056656801 has 2 divisors, whose sum is σ = 1056656802. Its totient is φ = 1056656800.

The previous prime is 1056656771. The next prime is 1056656803. The reversal of 1056656801 is 1086566501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 927811600 + 128845201 = 30460^2 + 11351^2 .

It is an emirp because it is prime and its reverse (1086566501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1056656801 - 2⁶ = 1056656737 is a prime.

It is a super-2 number, since 2×1056656801² = 2233047190199107202, which contains 22 as substring.

Together with 1056656803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1056656803) 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 as a sum of consecutive naturals, namely, 528328400 + 528328401.

It is an arithmetic number, because the mean of its divisors is an integer number (528328401).

Almost surely, 2^1056656801 is an apocalyptic number.

It is an amenable number.

1056656801 is a deficient number, since it is larger than the sum of its proper divisors (1).

1056656801 is an equidigital number, since it uses as much as digits as its factorization.

1056656801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 1056656801 is about 32506.2578744463. The cubic root of 1056656801 is about 1018.5397536898.

The spelling of 1056656801 in words is "one billion, fifty-six million, six hundred fifty-six thousand, eight hundred one".