2141375625 has 45 divisors (see below), whose sum is σ = 3871409971. Its totient is φ = 1140216000.

The previous prime is 2141375611. The next prime is 2141375633. The reversal of 2141375625 is 5265731412.

The square root of 2141375625 is 46275.

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

2141375625 is a `hidden beast` number, since 2 + 14 + 13 + 7 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2114252361 + 27123264 = 45981^2 + 5208^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2141375625 - 2⁷ = 2141375497 is a prime.

It is a Duffinian number.

Its product of digits (50400) is a multiple of the sum of its prime factors (1260).

It is a self number, because there is not a number n which added to its sum of digits gives 2141375625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3470317 + ... + 3470933.

Almost surely, 2^2141375625 is an apocalyptic number.

2141375625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2141375625 is the 46275-th square number.

2141375625 is the 23138-th centered octagonal number.

It is an amenable number.

2141375625 is a deficient number, since it is larger than the sum of its proper divisors (1730034346).

2141375625 is an frugal number, since it uses more digits than its factorization.

2141375625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 625 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The cubic root of 2141375625 is about 1288.9348066350.

Multiplying 2141375625 by its sum of digits (36), we get a square (77089522500 = 277650²).

The spelling of 2141375625 in words is "two billion, one hundred forty-one million, three hundred seventy-five thousand, six hundred twenty-five".