1006757377129 has 15 divisors (see below), whose sum is σ = 1174537747607. Its totient is φ = 862892753016.

The previous prime is 1006757377121. The next prime is 1006757377141. The reversal of 1006757377129 is 9217737576001.

The square root of 1006757377129 is 1003373.

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., 792251307225 + 214506069904 = 890085^2 + 463148^2 .

It is not a de Polignac number, because 1006757377129 - 2³ = 1006757377121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1006757377129.

It is not an unprimeable number, because it can be changed into a prime (1006757377121) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 49155039 + ... + 49175515.

Almost surely, 2^{1006757377129} is an apocalyptic number.

1006757377129 is the 1003373-rd square number.

1006757377129 is the 501687-th centered octagonal number.

It is an amenable number.

1006757377129 is a deficient number, since it is larger than the sum of its proper divisors (167780370478).

1006757377129 is an frugal number, since it uses more digits than its factorization.

1006757377129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40982 (or 20484 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 55.

The spelling of 1006757377129 in words is "one trillion, six billion, seven hundred fifty-seven million, three hundred seventy-seven thousand, one hundred twenty-nine".