2792652081129 has 9 divisors (see below), whose sum is σ = 4033838025399. Its totient is φ = 1861764711840.

The previous prime is 2792652081083. The next prime is 2792652081143. The reversal of 2792652081129 is 9211802562972.

The square root of 2792652081129 is 1671123.

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

2792652081129 is a `hidden beast` number, since 2 + 7 + 9 + 26 + 520 + 81 + 12 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2302876055529 + 489776025600 = 1517523^2 + 699840^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2792652081129 - 2¹⁹ = 2792651556841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2792652081529) 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 8 ways as a sum of consecutive naturals, for example, 4734849 + ... + 5291889.

Almost surely, 2^{2792652081129} is an apocalyptic number.

2792652081129 is the 1671123-rd square number.

2792652081129 is the 835562-nd centered octagonal number.

It is an amenable number.

2792652081129 is a deficient number, since it is larger than the sum of its proper divisors (1241185944270).

2792652081129 is an frugal number, since it uses more digits than its factorization.

2792652081129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114088 (or 557044 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 2792652081129 in words is "two trillion, seven hundred ninety-two billion, six hundred fifty-two million, eighty-one thousand, one hundred twenty-nine".