2263128125 has 54 divisors (see below), whose sum is σ = 3039145326. Its totient is φ = 1684980000.

The previous prime is 2263128107. The next prime is 2263128157. The reversal of 2263128125 is 5218213622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 1756112836 + 507015289 = 41906^2 + 22517^2 .

It is not a de Polignac number, because 2263128125 - 2¹⁸ = 2262865981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2263128091 and 2263128100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 61165607 + ... + 61165643.

It is an arithmetic number, because the mean of its divisors is an integer number (56280469).

Almost surely, 2^2263128125 is an apocalyptic number.

2263128125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2263128125 is a deficient number, since it is larger than the sum of its proper divisors (776017201).

2263128125 is an frugal number, since it uses more digits than its factorization.

2263128125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 65 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 2263128125 is about 47572.3462213080. The cubic root of 2263128125 is about 1312.9143060915.

Multiplying 2263128125 by its product of digits (11520), we get a square (26071236000000 = 5106000²).

The spelling of 2263128125 in words is "two billion, two hundred sixty-three million, one hundred twenty-eight thousand, one hundred twenty-five".