253014000 has 80 divisors (see below), whose sum is σ = 815736480. Its totient is φ = 67468800.

The previous prime is 253013953. The next prime is 253014017. The reversal of 253014000 is 410352.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15085 + ... + 27084.

It is an arithmetic number, because the mean of its divisors is an integer number (10196706).

Almost surely, 2^253014000 is an apocalyptic number.

253014000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253014000 is an abundant number, since it is smaller than the sum of its proper divisors (562722480).

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

253014000 is a wasteful number, since it uses less digits than its factorization.

253014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42195 (or 42179 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 253014000 is about 15906.4138007283. The cubic root of 253014000 is about 632.4820202464.

Adding to 253014000 its reverse (410352), we get a palindrome (253424352).

The spelling of 253014000 in words is "two hundred fifty-three million, fourteen thousand".