53136810 has 112 divisors (see below), whose sum is σ = 148027176. Its totient is φ = 13716864.

The previous prime is 53136803. The next prime is 53136833. The reversal of 53136810 is 1863135.

It can be written as a sum of positive squares in 4 ways, for example, as 52751169 + 385641 = 7263^2 + 621^2 .

It is a super-2 number, since 2×53136810² = 5647041153952200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 269632 + ... + 269828.

Almost surely, 2^53136810 is an apocalyptic number.

It is a pronic number, being equal to 7289×7290.

It is a practical number, because each smaller number is the sum of distinct divisors of 53136810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74013588).

53136810 is an abundant number, since it is smaller than the sum of its proper divisors (94890366).

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

53136810 is a wasteful number, since it uses less digits than its factorization.

53136810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 53136810 is about 7289.4999828520. The cubic root of 53136810 is about 375.9515036668.

Adding to 53136810 its reverse (1863135), we get a palindrome (54999945).

The spelling of 53136810 in words is "fifty-three million, one hundred thirty-six thousand, eight hundred ten".