253134641562000 has 640 divisors, whose sum is σ = 893683871428608. Its totient is φ = 61132810752000.

The previous prime is 253134641561999. The next prime is 253134641562073. The reversal of 253134641562000 is 265146431352.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50963283517 + ... + 50963288483.

Almost surely, 2^{253134641562000} is an apocalyptic number.

253134641562000 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 253134641562000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446841935714304).

253134641562000 is an abundant number, since it is smaller than the sum of its proper divisors (640549229866608).

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

253134641562000 is a wasteful number, since it uses less digits than its factorization.

253134641562000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7784 (or 7768 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 253134641562000 its reverse (265146431352), we get a palindrome (253399787993352).

The spelling of 253134641562000 in words is "two hundred fifty-three trillion, one hundred thirty-four billion, six hundred forty-one million, five hundred sixty-two thousand".