1074827312065 has 16 divisors (see below), whose sum is σ = 1415215298448. Its totient is φ = 778742804736.

The previous prime is 1074827312059. The next prime is 1074827312101. The reversal of 1074827312065 is 5602137284701.

1074827312065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 35642796849 + 1039184515216 = 188793^2 + 1019404^2 .

It is not a de Polignac number, because 1074827312065 - 2¹¹ = 1074827310017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155994714 + ... + 156001603.

It is an arithmetic number, because the mean of its divisors is an integer number (88450956153).

Almost surely, 2^{1074827312065} is an apocalyptic number.

It is an amenable number.

1074827312065 is a deficient number, since it is larger than the sum of its proper divisors (340387986383).

1074827312065 is a wasteful number, since it uses less digits than its factorization.

1074827312065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311996388.

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 1074827312065 in words is "one trillion, seventy-four billion, eight hundred twenty-seven million, three hundred twelve thousand, sixty-five".