1033880206401 has 45 divisors (see below), whose sum is σ = 1742427848291. Its totient is φ = 590703278256.

The previous prime is 1033880206399. The next prime is 1033880206409. The reversal of 1033880206401 is 1046020883301.

The square root of 1033880206401 is 1016799.

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

1033880206401 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 8 + 8 + 0 + 2 + 0 + 640 + 1 = 666.

1033880206401 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 only one way, i.e., 669213983025 + 364666223376 = 818055^2 + 603876^2 .

It is not a de Polignac number, because 1033880206401 - 2¹ = 1033880206399 is a prime.

It is a super-2 number, since 2×1033880206401² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1033880206409) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 149465995 + ... + 149472911.

Almost surely, 2^{1033880206401} is an apocalyptic number.

1033880206401 is the 1016799-th square number.

1033880206401 is the 508400-th centered octagonal number.

It is an amenable number.

1033880206401 is a deficient number, since it is larger than the sum of its proper divisors (708547641890).

1033880206401 is an frugal number, since it uses more digits than its factorization.

1033880206401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13868 (or 6927 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 1033880206401 by its sum of digits (36), we get a square (37219687430436 = 6100794²).

The spelling of 1033880206401 in words is "one trillion, thirty-three billion, eight hundred eighty million, two hundred six thousand, four hundred one".