1072071677561 has 2 divisors, whose sum is σ = 1072071677562. Its totient is φ = 1072071677560.

The previous prime is 1072071677507. The next prime is 1072071677581. The reversal of 1072071677561 is 1657761702701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 589263493225 + 482808184336 = 767635^2 + 694844^2 .

It is a cyclic number.

It is not a de Polignac number, because 1072071677561 - 2³⁰ = 1070997935737 is a prime.

It is a super-2 number, since 2×1072071677561² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1072071677581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 536035838780 + 536035838781.

It is an arithmetic number, because the mean of its divisors is an integer number (536035838781).

Almost surely, 2^{1072071677561} is an apocalyptic number.

It is an amenable number.

1072071677561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1072071677561 is an equidigital number, since it uses as much as digits as its factorization.

1072071677561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864360, while the sum is 50.

The spelling of 1072071677561 in words is "one trillion, seventy-two billion, seventy-one million, six hundred seventy-seven thousand, five hundred sixty-one".