252042133030110 has 128 divisors (see below), whose sum is σ = 680609516544000. Its totient is φ = 66363620057856.

The previous prime is 252042133030043. The next prime is 252042133030111. The reversal of 252042133030110 is 11030331240252.

252042133030110 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 4 + 21 + 330 + 301 + 1 + 0 = 666.

It is a super-2 number, since 2×252042133030110² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252042133030111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9983659 + ... + 24571481.

It is an arithmetic number, because the mean of its divisors is an integer number (5317261848000).

Almost surely, 2^{252042133030110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252042133030110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340304758272000).

252042133030110 is an abundant number, since it is smaller than the sum of its proper divisors (428567383513890).

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

252042133030110 is a wasteful number, since it uses less digits than its factorization.

252042133030110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14588647 (or 14588641 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 252042133030110 its reverse (11030331240252), we get a palindrome (263072464270362).

The spelling of 252042133030110 in words is "two hundred fifty-two trillion, forty-two billion, one hundred thirty-three million, thirty thousand, one hundred ten".