253012145544 has 96 divisors (see below), whose sum is σ = 698232506400. Its totient is φ = 82752933120.

The previous prime is 253012145543. The next prime is 253012145591. The reversal of 253012145544 is 445541210352.

253012145544 is a `hidden beast` number, since 2 + 53 + 0 + 1 + 21 + 45 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 253012145499 and 253012145508.

It is not an unprimeable number, because it can be changed into a prime (253012145543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688747 + ... + 990149.

It is an arithmetic number, because the mean of its divisors is an integer number (7273255275).

Almost surely, 2^253012145544 is an apocalyptic number.

253012145544 is a gapful number since it is divisible by the number (24) 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 253012145544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349116253200).

253012145544 is an abundant number, since it is smaller than the sum of its proper divisors (445220360856).

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

253012145544 is a wasteful number, since it uses less digits than its factorization.

253012145544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301635 (or 301628 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 253012145544 its reverse (445541210352), we get a palindrome (698553355896).

The spelling of 253012145544 in words is "two hundred fifty-three billion, twelve million, one hundred forty-five thousand, five hundred forty-four".