253011000 has 384 divisors, whose sum is σ = 941129280. Its totient is φ = 56320000.

The previous prime is 253010987. The next prime is 253011001. The reversal of 253011000 is 110352.

It is a super-2 number, since 2×253011000² = 128029132242000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253011001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6170980 + ... + 6171020.

Almost surely, 2^253011000 is an apocalyptic number.

253011000 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 253011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470564640).

253011000 is an abundant number, since it is smaller than the sum of its proper divisors (688118280).

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

253011000 is a wasteful number, since it uses less digits than its factorization.

253011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 253011000 is about 15906.3194988659. The cubic root of 253011000 is about 632.4795204459.

Adding to 253011000 its reverse (110352), we get a palindrome (253121352).

It can be divided in two parts, 2530 and 11000, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 253011000 in words is "two hundred fifty-three million, eleven thousand".