213254125 has 48 divisors (see below), whose sum is σ = 318298032. Its totient is φ = 142128000.

The previous prime is 213254123. The next prime is 213254179. The reversal of 213254125 is 521452312.

It can be written as a sum of positive squares in 8 ways, for example, as 20766249 + 192487876 = 4557^2 + 13874^2 .

It is not a de Polignac number, because 213254125 - 2¹ = 213254123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213254125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213254123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226155 + ... + 227095.

It is an arithmetic number, because the mean of its divisors is an integer number (6631209).

Almost surely, 2^213254125 is an apocalyptic number.

213254125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213254125 is a deficient number, since it is larger than the sum of its proper divisors (105043907).

213254125 is an equidigital number, since it uses as much as digits as its factorization.

213254125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 990 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 213254125 is about 14603.2231031372. The cubic root of 213254125 is about 597.4466727615.

The spelling of 213254125 in words is "two hundred thirteen million, two hundred fifty-four thousand, one hundred twenty-five".