1075727626261 has 16 divisors (see below), whose sum is σ = 1080581838336. Its totient is φ = 1070888063616.

The previous prime is 1075727626249. The next prime is 1075727626327. The reversal of 1075727626261 is 1626267275701.

It is a cyclic number.

It is not a de Polignac number, because 1075727626261 - 2⁷ = 1075727626133 is a prime.

It is a super-2 number, since 2×1075727626261² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1075727626199 and 1075727626208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075727626241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657132735 + ... + 657134371.

It is an arithmetic number, because the mean of its divisors is an integer number (67536364896).

Almost surely, 2^{1075727626261} is an apocalyptic number.

It is an amenable number.

1075727626261 is a deficient number, since it is larger than the sum of its proper divisors (4854212075).

1075727626261 is a wasteful number, since it uses less digits than its factorization.

1075727626261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548.

The product of its (nonzero) digits is 2963520, while the sum is 52.

The spelling of 1075727626261 in words is "one trillion, seventy-five billion, seven hundred twenty-seven million, six hundred twenty-six thousand, two hundred sixty-one".