1056621045601 has 128 divisors (see below), whose sum is σ = 1350411264000. Its totient is φ = 813754368000.

The previous prime is 1056621045517. The next prime is 1056621045643. The reversal of 1056621045601 is 1065401266501.

It is not a de Polignac number, because 1056621045601 - 2²³ = 1056612656993 is a prime.

It is a super-2 number, since 2×1056621045601² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1056621045671) 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 127 ways as a sum of consecutive naturals, for example, 2634965001 + ... + 2634965401.

It is an arithmetic number, because the mean of its divisors is an integer number (10550088000).

Almost surely, 2^{1056621045601} is an apocalyptic number.

1056621045601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1056621045601 is a deficient number, since it is larger than the sum of its proper divisors (293790218399).

1056621045601 is a wasteful number, since it uses less digits than its factorization.

1056621045601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823.

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 1056621045601 in words is "one trillion, fifty-six billion, six hundred twenty-one million, forty-five thousand, six hundred one".