2127515625 has 105 divisors (see below), whose sum is σ = 4071881473. Its totient is φ = 1107000000.

The previous prime is 2127515563. The next prime is 2127515629. The reversal of 2127515625 is 5265157212.

The square root of 2127515625 is 46125.

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

2127515625 is a `hidden beast` number, since 2 + 1 + 27 + 5 + 1 + 5 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 640950489 + 1486565136 = 25317^2 + 38556^2 .

It is not a de Polignac number, because 2127515625 - 2¹³ = 2127507433 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2127515625.

It is not an unprimeable number, because it can be changed into a prime (2127515629) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 51890605 + ... + 51890645.

Almost surely, 2^2127515625 is an apocalyptic number.

2127515625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2127515625 is the 46125-th square number.

2127515625 is the 23063-rd centered octagonal number.

It is an amenable number.

2127515625 is a deficient number, since it is larger than the sum of its proper divisors (1944365848).

2127515625 is an frugal number, since it uses more digits than its factorization.

2127515625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 49 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The cubic root of 2127515625 is about 1286.1479192080.

Multiplying 2127515625 by its sum of digits (36), we get a square (76590562500 = 276750²).

The spelling of 2127515625 in words is "two billion, one hundred twenty-seven million, five hundred fifteen thousand, six hundred twenty-five".