225752153 has 24 divisors (see below), whose sum is σ = 266400576. Its totient is φ = 189358400.

The previous prime is 225752147. The next prime is 225752159. The reversal of 225752153 is 351257522.

It is an interprime number because it is at equal distance from previous prime (225752147) and next prime (225752159).

It is not a de Polignac number, because 225752153 - 2²² = 221557849 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (225752159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212243 + ... + 213303.

It is an arithmetic number, because the mean of its divisors is an integer number (11100024).

Almost surely, 2^225752153 is an apocalyptic number.

225752153 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

225752153 is a deficient number, since it is larger than the sum of its proper divisors (40648423).

225752153 is a wasteful number, since it uses less digits than its factorization.

225752153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1124 counting only the distinct ones).

The product of its digits is 21000, while the sum is 32.

The square root of 225752153 is about 15025.0508484996. The cubic root of 225752153 is about 608.8971859692.

The spelling of 225752153 in words is "two hundred twenty-five million, seven hundred fifty-two thousand, one hundred fifty-three".