42053000 has 64 divisors (see below), whose sum is σ = 107377920. Its totient is φ = 15288000.

The previous prime is 42052961. The next prime is 42053041. The reversal of 42053000 is 35024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9089 + ... + 12911.

It is an arithmetic number, because the mean of its divisors is an integer number (1677780).

Almost surely, 2^42053000 is an apocalyptic number.

42053000 is a gapful number since it is divisible by the number (40) 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 42053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53688960).

42053000 is an abundant number, since it is smaller than the sum of its proper divisors (65324920).

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

42053000 is a wasteful number, since it uses less digits than its factorization.

42053000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 42053000 is about 6484.8284480008. The cubic root of 42053000 is about 347.7488168483.

Adding to 42053000 its reverse (35024), we get a palindrome (42088024).

The spelling of 42053000 in words is "forty-two million, fifty-three thousand".