53536100 has 18 divisors (see below), whose sum is σ = 116173554. Its totient is φ = 21414400.

The previous prime is 53536099. The next prime is 53536103. The reversal of 53536100 is 163535.

It can be written as a sum of positive squares in 3 ways, for example, as 70756 + 53465344 = 266^2 + 7312^2 .

It is a super-2 number, since 2×53536100² = 5732228006420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53536103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 267581 + ... + 267780.

Almost surely, 2^53536100 is an apocalyptic number.

53536100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53536100 is an abundant number, since it is smaller than the sum of its proper divisors (62637454).

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

53536100 is a wasteful number, since it uses less digits than its factorization.

53536100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535375 (or 535368 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 53536100 is about 7316.8367482130. The cubic root of 53536100 is about 376.8908351409.

Adding to 53536100 its reverse (163535), we get a palindrome (53699635).

The spelling of 53536100 in words is "fifty-three million, five hundred thirty-six thousand, one hundred".