253542531000 has 128 divisors (see below), whose sum is σ = 862966690560. Its totient is φ = 61464848000.

The previous prime is 253542530971. The next prime is 253542531001. The reversal of 253542531000 is 135245352.

It is a super-2 number, since 2×253542531000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253542531001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3808554 + ... + 3874553.

It is an arithmetic number, because the mean of its divisors is an integer number (6741927270).

Almost surely, 2^253542531000 is an apocalyptic number.

253542531000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253542531000 is an abundant number, since it is smaller than the sum of its proper divisors (609424159560).

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

253542531000 is a wasteful number, since it uses less digits than its factorization.

253542531000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7683142 (or 7683128 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 253542531000 its reverse (135245352), we get a palindrome (253677776352).

The spelling of 253542531000 in words is "two hundred fifty-three billion, five hundred forty-two million, five hundred thirty-one thousand".