1056564201231 has 192 divisors, whose sum is σ = 2016528307200. Its totient is φ = 540579916800.

The previous prime is 1056564201221. The next prime is 1056564201233. The reversal of 1056564201231 is 1321024656501.

1056564201231 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 5 + 642 + 0 + 1 + 2 + 3 + 1 = 666.

It is not a de Polignac number, because 1056564201231 - 2⁶ = 1056564201167 is a prime.

It is a super-2 number, since 2×1056564201231² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056564201233) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 363954526 + ... + 363957428.

It is an arithmetic number, because the mean of its divisors is an integer number (10502751600).

Almost surely, 2^{1056564201231} is an apocalyptic number.

1056564201231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1056564201231 is a deficient number, since it is larger than the sum of its proper divisors (959964105969).

1056564201231 is a wasteful number, since it uses less digits than its factorization.

1056564201231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 1056564201231 its reverse (1321024656501), we get a palindrome (2377588857732).

The spelling of 1056564201231 in words is "one trillion, fifty-six billion, five hundred sixty-four million, two hundred one thousand, two hundred thirty-one".