1013772588777 has 12 divisors (see below), whose sum is σ = 1576979582724. Its totient is φ = 623860054560.

The previous prime is 1013772588769. The next prime is 1013772588791. The reversal of 1013772588777 is 7778852773101.

1013772588777 is a `hidden beast` number, since 1 + 0 + 1 + 377 + 258 + 8 + 7 + 7 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44028209241 + 969744379536 = 209829^2 + 984756^2 .

It is not a de Polignac number, because 1013772588777 - 2³ = 1013772588769 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1013772588707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4332361374 + ... + 4332361607.

It is an arithmetic number, because the mean of its divisors is an integer number (131414965227).

Almost surely, 2^{1013772588777} is an apocalyptic number.

It is an amenable number.

1013772588777 is a deficient number, since it is larger than the sum of its proper divisors (563206993947).

1013772588777 is a wasteful number, since it uses less digits than its factorization.

1013772588777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8664723000 (or 8664722997 counting only the distinct ones).

The product of its (nonzero) digits is 32269440, while the sum is 63.

The spelling of 1013772588777 in words is "one trillion, thirteen billion, seven hundred seventy-two million, five hundred eighty-eight thousand, seven hundred seventy-seven".