233564525 has 12 divisors (see below), whose sum is σ = 290020500. Its totient is φ = 186593280.

The previous prime is 233564501. The next prime is 233564531. The reversal of 233564525 is 525465332.

It can be written as a sum of positive squares in 6 ways, for example, as 4072324 + 229492201 = 2018^2 + 15149^2 .

It is not a de Polignac number, because 233564525 - 2¹⁶ = 233498989 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13151 + ... + 25299.

It is an arithmetic number, because the mean of its divisors is an integer number (24168375).

Almost surely, 2^233564525 is an apocalyptic number.

233564525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

233564525 is a deficient number, since it is larger than the sum of its proper divisors (56455975).

233564525 is a wasteful number, since it uses less digits than its factorization.

233564525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12928 (or 12923 counting only the distinct ones).

The product of its digits is 108000, while the sum is 35.

The square root of 233564525 is about 15282.8179665924. The cubic root of 233564525 is about 615.8415122221.

The spelling of 233564525 in words is "two hundred thirty-three million, five hundred sixty-four thousand, five hundred twenty-five".