253002425412000 has 384 divisors, whose sum is σ = 904474380595968. Its totient is φ = 61314269184000.

The previous prime is 253002425411971. The next prime is 253002425412029. The reversal of 253002425412000 is 214524200352.

253002425412000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253002425411971) and next prime (253002425412029).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 413778504 + ... + 414389496.

It is an arithmetic number, because the mean of its divisors is an integer number (2355402032802).

Almost surely, 2^{253002425412000} is an apocalyptic number.

253002425412000 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 253002425412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452237190297984).

253002425412000 is an abundant number, since it is smaller than the sum of its proper divisors (651471955183968).

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

253002425412000 is a wasteful number, since it uses less digits than its factorization.

253002425412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614169 (or 614151 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 253002425412000 its reverse (214524200352), we get a palindrome (253216949612352).

The spelling of 253002425412000 in words is "two hundred fifty-three trillion, two billion, four hundred twenty-five million, four hundred twelve thousand".