52636900 has 36 divisors (see below), whose sum is σ = 116108020. Its totient is φ = 20707200.

The previous prime is 52636891. The next prime is 52636901. The reversal of 52636900 is 963625.

It can be written as a sum of positive squares in 6 ways, for example, as 4639716 + 47997184 = 2154^2 + 6928^2 .

It is a super-2 number, since 2×52636900² = 5541286483220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52636901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1786 + ... + 10414.

Almost surely, 2^52636900 is an apocalyptic number.

52636900 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 52636900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58054010).

52636900 is an abundant number, since it is smaller than the sum of its proper divisors (63471120).

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

52636900 is a wasteful number, since it uses less digits than its factorization.

52636900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8704 (or 8697 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 52636900 is about 7255.1292200760. The cubic root of 52636900 is about 374.7688056419.

The spelling of 52636900 in words is "fifty-two million, six hundred thirty-six thousand, nine hundred".