253521414 has 64 divisors (see below), whose sum is σ = 575640000. Its totient is φ = 83724192.

The previous prime is 253521403. The next prime is 253521439. The reversal of 253521414 is 414125352.

253521414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651532 + ... + 651920.

It is an arithmetic number, because the mean of its divisors is an integer number (8994375).

Almost surely, 2^253521414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253521414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287820000).

253521414 is an abundant number, since it is smaller than the sum of its proper divisors (322118586).

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

253521414 is an equidigital number, since it uses as much as digits as its factorization.

253521414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 543 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 253521414 is about 15922.3557930351. The cubic root of 253521414 is about 632.9045474992.

Adding to 253521414 its reverse (414125352), we get a palindrome (667646766).

The spelling of 253521414 in words is "two hundred fifty-three million, five hundred twenty-one thousand, four hundred fourteen".