253501620 has 96 divisors (see below), whose sum is σ = 756822528. Its totient is φ = 63178752.

The previous prime is 253501609. The next prime is 253501639. The reversal of 253501620 is 26105352.

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, 159349 + ... + 160931.

It is an arithmetic number, because the mean of its divisors is an integer number (7883568).

Almost surely, 2^253501620 is an apocalyptic number.

253501620 is a gapful number since it is divisible by the number (20) 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 253501620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378411264).

253501620 is an abundant number, since it is smaller than the sum of its proper divisors (503320908).

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

253501620 is a wasteful number, since it uses less digits than its factorization.

253501620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 253501620 is about 15921.7342020271. The cubic root of 253501620 is about 632.8880754670. Note that the first 3 decimals are identical.

Adding to 253501620 its reverse (26105352), we get a palindrome (279606972).

The spelling of 253501620 in words is "two hundred fifty-three million, five hundred one thousand, six hundred twenty".