253525272 has 256 divisors, whose sum is σ = 869944320. Its totient is φ = 59443200.

The previous prime is 253525271. The next prime is 253525273. The reversal of 253525272 is 272525352.

It is an interprime number because it is at equal distance from previous prime (253525271) and next prime (253525273).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253525271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1465378 + ... + 1465550.

It is an arithmetic number, because the mean of its divisors is an integer number (3398220).

Almost surely, 2^253525272 is an apocalyptic number.

253525272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253525272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434972160).

253525272 is an abundant number, since it is smaller than the sum of its proper divisors (616419048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253525272 is a wasteful number, since it uses less digits than its factorization.

253525272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

The product of its digits is 42000, while the sum is 33.

The square root of 253525272 is about 15922.4769429885. The cubic root of 253525272 is about 632.9077579228.

It can be divided in two parts, 253 and 525272, that added together give a palindrome (525525).

The spelling of 253525272 in words is "two hundred fifty-three million, five hundred twenty-five thousand, two hundred seventy-two".