253514000 has 40 divisors (see below), whose sum is σ = 613001688. Its totient is φ = 101404800.

The previous prime is 253513963. The next prime is 253514021. The reversal of 253514000 is 415352.

253514000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17707264 + 235806736 = 4208^2 + 15356^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61379 + ... + 65378.

Almost surely, 2^253514000 is an apocalyptic number.

253514000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253514000 is an abundant number, since it is smaller than the sum of its proper divisors (359487688).

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

253514000 is a wasteful number, since it uses less digits than its factorization.

253514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126780 (or 126764 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 253514000 is about 15922.1229740258. The cubic root of 253514000 is about 632.8983778691.

Adding to 253514000 its reverse (415352), we get a palindrome (253929352).

The spelling of 253514000 in words is "two hundred fifty-three million, five hundred fourteen thousand".