2131848207225 has 81 divisors (see below), whose sum is σ = 4197533379949. Its totient is φ = 1033506566400.

The previous prime is 2131848207173. The next prime is 2131848207277. The reversal of 2131848207225 is 5227028481312.

The square root of 2131848207225 is 1460085.

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

2131848207225 is a `hidden beast` number, since 213 + 1 + 8 + 4 + 8 + 207 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (2131848207173) and next prime (2131848207277).

It can be written as a sum of positive squares in 4 ways, for example, as 1270983409641 + 860864797584 = 1127379^2 + 927828^2 .

It is not a de Polignac number, because 2131848207225 - 2²¹ = 2131846110073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 240909601 + ... + 240918449.

Almost surely, 2^{2131848207225} is an apocalyptic number.

2131848207225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2131848207225 is the 1460085-th square number.

2131848207225 is the 730043-rd centered octagonal number.

It is an amenable number.

2131848207225 is a deficient number, since it is larger than the sum of its proper divisors (2065685172724).

2131848207225 is an frugal number, since it uses more digits than its factorization.

2131848207225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17736 (or 8868 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 2131848207225 in words is "two trillion, one hundred thirty-one billion, eight hundred forty-eight million, two hundred seven thousand, two hundred twenty-five".