253058000 has 80 divisors (see below), whose sum is σ = 659030736. Its totient is φ = 93427200.

The previous prime is 253057969. The next prime is 253058009. The reversal of 253058000 is 850352.

It can be written as a sum of positive squares in 8 ways, for example, as 78712384 + 174345616 = 8872^2 + 13204^2 .

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

It is a super-3 number, since 3×253058000³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253058009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21134 + ... + 30866.

Almost surely, 2^253058000 is an apocalyptic number.

253058000 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 253058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329515368).

253058000 is an abundant number, since it is smaller than the sum of its proper divisors (405972736).

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

253058000 is a wasteful number, since it uses less digits than its factorization.

253058000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9769 (or 9753 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 253058000 is about 15907.7968304854. The cubic root of 253058000 is about 632.5186817168.

The spelling of 253058000 in words is "two hundred fifty-three million, fifty-eight thousand".