1073878310961 has 27 divisors (see below), whose sum is σ = 1559151168939. Its totient is φ = 712248366672.

The previous prime is 1073878310959. The next prime is 1073878310963. The reversal of 1073878310961 is 1690138783701.

The square root of 1073878310961 is 1036281.

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

It is an interprime number because it is at equal distance from previous prime (1073878310959) and next prime (1073878310963).

It can be written as a sum of positive squares in only one way, i.e., 363330467361 + 710547843600 = 602769^2 + 842940^2 .

It is not a de Polignac number, because 1073878310961 - 2¹ = 1073878310959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1073878310898 and 1073878310907.

It is not an unprimeable number, because it can be changed into a prime (1073878310963) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 693271215 + ... + 693272763.

Almost surely, 2^{1073878310961} is an apocalyptic number.

1073878310961 is the 1036281-st square number.

1073878310961 is the 518141-st centered octagonal number.

It is an amenable number.

1073878310961 is a deficient number, since it is larger than the sum of its proper divisors (485272857978).

1073878310961 is an frugal number, since it uses more digits than its factorization.

1073878310961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 1073878310961 in words is "one trillion, seventy-three billion, eight hundred seventy-eight million, three hundred ten thousand, nine hundred sixty-one".