1077649533801 has 27 divisors (see below), whose sum is σ = 1563259332037. Its totient is φ = 715374782880.

The previous prime is 1077649533773. The next prime is 1077649533817. The reversal of 1077649533801 is 1083359467701.

The square root of 1077649533801 is 1038099.

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

1077649533801 is a `hidden beast` number, since 1 + 0 + 7 + 76 + 495 + 3 + 3 + 80 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 805766546025 + 271882987776 = 897645^2 + 521424^2 .

It is not a de Polignac number, because 1077649533801 - 2²³ = 1077641145193 is a prime.

It is a super-2 number, since 2×1077649533801² (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 (1077649537801) 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, 912488431 + ... + 912489611.

Almost surely, 2^{1077649533801} is an apocalyptic number.

1077649533801 is the 1038099-th square number.

1077649533801 is the 519050-th centered octagonal number.

It is an amenable number.

1077649533801 is a deficient number, since it is larger than the sum of its proper divisors (485609798236).

1077649533801 is an frugal number, since it uses more digits than its factorization.

1077649533801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1077649533801 in words is "one trillion, seventy-seven billion, six hundred forty-nine million, five hundred thirty-three thousand, eight hundred one".