12777516252 has 36 divisors (see below), whose sum is σ = 32545288776. Its totient is φ = 4226657760.

The previous prime is 12777516221. The next prime is 12777516287. The reversal of 12777516252 is 25261577721.

12777516252 is a `hidden beast` number, since 12 + 7 + 7 + 7 + 5 + 1 + 625 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 12777516198 and 12777516207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1349983 + ... + 1359414.

Almost surely, 2^12777516252 is an apocalyptic number.

12777516252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12777516252 is an abundant number, since it is smaller than the sum of its proper divisors (19767772524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12777516252 is a wasteful number, since it uses less digits than its factorization.

12777516252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709538 (or 2709533 counting only the distinct ones).

The product of its digits is 411600, while the sum is 45.

It can be divided in two parts, 1277751 and 6252, that added together give a triangular number (1284003 = T₁₆₀₂).

The spelling of 12777516252 in words is "twelve billion, seven hundred seventy-seven million, five hundred sixteen thousand, two hundred fifty-two".