253111525000 has 96 divisors (see below), whose sum is σ = 598448337480. Its totient is φ = 100347520000.

The previous prime is 253111524937. The next prime is 253111525031. The reversal of 253111525000 is 525111352.

It can be written as a sum of positive squares in 12 ways, for example, as 111974559876 + 141136965124 = 334626^2 + 375682^2 .

It is a super-3 number, since 3×253111525000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2780202 + ... + 2869798.

Almost surely, 2^253111525000 is an apocalyptic number.

253111525000 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 253111525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299224168740).

253111525000 is an abundant number, since it is smaller than the sum of its proper divisors (345336812480).

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

253111525000 is an equidigital number, since it uses as much as digits as its factorization.

253111525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89741 (or 89717 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 253111525000 its reverse (525111352), we get a palindrome (253636636352).

The spelling of 253111525000 in words is "two hundred fifty-three billion, one hundred eleven million, five hundred twenty-five thousand".