52265100 has 72 divisors (see below), whose sum is σ = 153115200. Its totient is φ = 13762880.

The previous prime is 52265093. The next prime is 52265107. The reversal of 52265100 is 156225.

It is an interprime number because it is at equal distance from previous prime (52265093) and next prime (52265107).

It is not an unprimeable number, because it can be changed into a prime (52265107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23851 + ... + 25949.

It is an arithmetic number, because the mean of its divisors is an integer number (2126600).

Almost surely, 2^52265100 is an apocalyptic number.

52265100 is a gapful number since it is divisible by the number (50) 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 52265100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76557600).

52265100 is an abundant number, since it is smaller than the sum of its proper divisors (100850100).

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

52265100 is a wasteful number, since it uses less digits than its factorization.

52265100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 52265100 is about 7229.4605607888. The cubic root of 52265100 is about 373.8843284750.

The spelling of 52265100 in words is "fifty-two million, two hundred sixty-five thousand, one hundred".