253033051210000 has 600 divisors, whose sum is σ = 657756762460160. Its totient is φ = 94241968128000.

The previous prime is 253033051209943. The next prime is 253033051210001. The reversal of 253033051210000 is 12150330352.

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

It is not an unprimeable number, because it can be changed into a prime (253033051210001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 169934889256 + ... + 169934890744.

Almost surely, 2^{253033051210000} is an apocalyptic number.

253033051210000 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 253033051210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328878381230080).

253033051210000 is an abundant number, since it is smaller than the sum of its proper divisors (404723711250160).

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

253033051210000 is a wasteful number, since it uses less digits than its factorization.

253033051210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The spelling of 253033051210000 in words is "two hundred fifty-three trillion, thirty-three billion, fifty-one million, two hundred ten thousand".