1127965071249 has 27 divisors (see below), whose sum is σ = 1668256980507. Its totient is φ = 734399670816.

The previous prime is 1127965071229. The next prime is 1127965071251. The reversal of 1127965071249 is 9421705697211.

The square root of 1127965071249 is 1062057.

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

1127965071249 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 9 + 6 + 507 + 124 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 218673140625 + 909291930624 = 467625^2 + 953568^2 .

It is not a de Polignac number, because 1127965071249 - 2¹⁷ = 1127964940177 is a prime.

It is a super-3 number, since 3×1127965071249³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1127965071195 and 1127965071204.

It is not an unprimeable number, because it can be changed into a prime (1127965071229) 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, 137001237 + ... + 137009469.

Almost surely, 2^{1127965071249} is an apocalyptic number.

1127965071249 is the 1062057-th square number.

1127965071249 is the 531029-th centered octagonal number.

It is an amenable number.

1127965071249 is a deficient number, since it is larger than the sum of its proper divisors (540291909258).

1127965071249 is an frugal number, since it uses more digits than its factorization.

1127965071249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16558 (or 8279 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 1127965071249 in words is "one trillion, one hundred twenty-seven billion, nine hundred sixty-five million, seventy-one thousand, two hundred forty-nine".