253551040 has 56 divisors (see below), whose sum is σ = 605131632. Its totient is φ = 101191680.

The previous prime is 253551013. The next prime is 253551059. The reversal of 253551040 is 40155352.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 253550996 and 253551014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259032 + ... + 260008.

It is an arithmetic number, because the mean of its divisors is an integer number (10805922).

Almost surely, 2^253551040 is an apocalyptic number.

253551040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253551040 is an abundant number, since it is smaller than the sum of its proper divisors (351580592).

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

253551040 is an equidigital number, since it uses as much as digits as its factorization.

253551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 253551040 is about 15923.2860930148. The cubic root of 253551040 is about 632.9291998543.

The spelling of 253551040 in words is "two hundred fifty-three million, five hundred fifty-one thousand, forty".