1033920878761 has 9 divisors (see below), whose sum is σ = 1037876079639. Its totient is φ = 1029980705136.

The previous prime is 1033920878759. The next prime is 1033920878773. The reversal of 1033920878761 is 1678780293301.

It is a happy number.

The square root of 1033920878761 is 1016819.

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

It can be written as a sum of positive squares in only one way, i.e., 328414955625 + 705505923136 = 573075^2 + 839944^2 .

It is not a de Polignac number, because 1033920878761 - 2¹ = 1033920878759 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1033920878701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 287757981 + ... + 287761573.

Almost surely, 2^{1033920878761} is an apocalyptic number.

1033920878761 is the 1016819-th square number.

1033920878761 is the 508410-th centered octagonal number.

It is an amenable number.

1033920878761 is a deficient number, since it is larger than the sum of its proper divisors (3955200878).

1033920878761 is an frugal number, since it uses more digits than its factorization.

1033920878761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7752 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 55.

The spelling of 1033920878761 in words is "one trillion, thirty-three billion, nine hundred twenty million, eight hundred seventy-eight thousand, seven hundred sixty-one".