2052737127 has 32 divisors (see below), whose sum is σ = 3500582400. Its totient is φ = 1164538944.

The previous prime is 2052737123. The next prime is 2052737153. The reversal of 2052737127 is 7217372502.

2052737127 is a `hidden beast` number, since 2 + 0 + 527 + 3 + 7 + 127 = 666.

It is not a de Polignac number, because 2052737127 - 2² = 2052737123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2052737091 and 2052737100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052737123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12798 + ... + 65339.

It is an arithmetic number, because the mean of its divisors is an integer number (109393200).

Almost surely, 2^2052737127 is an apocalyptic number.

2052737127 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2052737127 is a deficient number, since it is larger than the sum of its proper divisors (1447845273).

2052737127 is a wasteful number, since it uses less digits than its factorization.

2052737127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78292 (or 78286 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 2052737127 is about 45307.1421190964. The cubic root of 2052737127 is about 1270.8992178755.

The spelling of 2052737127 in words is "two billion, fifty-two million, seven hundred thirty-seven thousand, one hundred twenty-seven".