1027322117761 has 3 divisors (see below), whose sum is σ = 1027323131331. Its totient is φ = 1027321104192.

The previous prime is 1027322117747. The next prime is 1027322117797. The reversal of 1027322117761 is 1677112237201.

It is a happy number.

The square root of 1027322117761 is 1013569.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 4473068161 + 1022849049600 = 66881^2 + 1011360^2 .

It is not a de Polignac number, because 1027322117761 - 2⁹ = 1027322117249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1027322115761) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 506785 + ... + 1520353.

It is an arithmetic number, because the mean of its divisors is an integer number (342441043777).

Almost surely, 2^{1027322117761} is an apocalyptic number.

1027322117761 is the 1013569-th square number.

1027322117761 is the 506785-th centered octagonal number.

It is an amenable number.

1027322117761 is a deficient number, since it is larger than the sum of its proper divisors (1013570).

1027322117761 is an frugal number, since it uses more digits than its factorization.

1027322117761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027138 (or 1013569 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 40.

The spelling of 1027322117761 in words is "one trillion, twenty-seven billion, three hundred twenty-two million, one hundred seventeen thousand, seven hundred sixty-one".