253504255420312 has 128 divisors (see below), whose sum is σ = 544250371392000. Its totient is φ = 109728624015360.

The previous prime is 253504255420309. The next prime is 253504255420313. The reversal of 253504255420312 is 213024552405352.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253504255420313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573524512 + ... + 573966352.

It is an arithmetic number, because the mean of its divisors is an integer number (4251956026500).

Almost surely, 2^{253504255420312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253504255420312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272125185696000).

253504255420312 is an abundant number, since it is smaller than the sum of its proper divisors (290746115971688).

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

253504255420312 is a wasteful number, since it uses less digits than its factorization.

253504255420312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444801 (or 444797 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 43.

The spelling of 253504255420312 in words is "two hundred fifty-three trillion, five hundred four billion, two hundred fifty-five million, four hundred twenty thousand, three hundred twelve".