536251600 has 60 divisors (see below), whose sum is σ = 1295274240. Its totient is φ = 213347200.

The previous prime is 536251577. The next prime is 536251603. The reversal of 536251600 is 6152635.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536251603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72891 + ... + 79909.

It is an arithmetic number, because the mean of its divisors is an integer number (21587904).

Almost surely, 2^536251600 is an apocalyptic number.

536251600 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 536251600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647637120).

536251600 is an abundant number, since it is smaller than the sum of its proper divisors (759022640).

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

536251600 is a wasteful number, since it uses less digits than its factorization.

536251600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7228 (or 7217 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 536251600 is about 23157.1069004744. The cubic root of 536251600 is about 812.4367003941.

It can be divided in two parts, 53625 and 1600, that added together give a square (55225 = 235²).

The spelling of 536251600 in words is "five hundred thirty-six million, two hundred fifty-one thousand, six hundred".