52523100 has 216 divisors, whose sum is σ = 196914480. Its totient is φ = 11975040.

The previous prime is 52523069. The next prime is 52523101. The reversal of 52523100 is 132525.

It is a happy number.

It is a super-2 number, since 2×52523100² = 5517352067220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52523101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132102 + ... + 132498.

Almost surely, 2^52523100 is an apocalyptic number.

52523100 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 52523100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98457240).

52523100 is an abundant number, since it is smaller than the sum of its proper divisors (144391380).

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

52523100 is a wasteful number, since it uses less digits than its factorization.

52523100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 52523100 is about 7247.2822492297. The cubic root of 52523100 is about 374.4985297057.

Adding to 52523100 its reverse (132525), we get a palindrome (52655625).

The spelling of 52523100 in words is "fifty-two million, five hundred twenty-three thousand, one hundred".