536334100 has 54 divisors (see below), whose sum is σ = 1202814942. Its totient is φ = 207576000.

The previous prime is 536334077. The next prime is 536334101. The reversal of 536334100 is 1433635.

It can be written as a sum of positive squares in 3 ways, for example, as 12931216 + 523402884 = 3596^2 + 22878^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536334101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 93310 + ... + 98890.

Almost surely, 2^536334100 is an apocalyptic number.

536334100 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 536334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601407471).

536334100 is an abundant number, since it is smaller than the sum of its proper divisors (666480842).

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

536334100 is a wasteful number, since it uses less digits than its factorization.

536334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5657 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 536334100 is about 23158.8881425685. Note that the first 3 decimals coincide. The cubic root of 536334100 is about 812.4783615539.

Adding to 536334100 its reverse (1433635), we get a palindrome (537767735).

The spelling of 536334100 in words is "five hundred thirty-six million, three hundred thirty-four thousand, one hundred".