53135936 has 56 divisors (see below), whose sum is σ = 122041920. Its totient is φ = 22482432.

The previous prime is 53135923. The next prime is 53135939. The reversal of 53135936 is 63953135.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 53135896 and 53135905.

It is not an unprimeable number, because it can be changed into a prime (53135939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36470 + ... + 37898.

It is an arithmetic number, because the mean of its divisors is an integer number (2179320).

Almost surely, 2^53135936 is an apocalyptic number.

53135936 is a gapful number since it is divisible by the number (56) 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 53135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61020960).

53135936 is an abundant number, since it is smaller than the sum of its proper divisors (68905984).

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

53135936 is a wasteful number, since it uses less digits than its factorization.

53135936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1521 counting only the distinct ones).

The product of its digits is 36450, while the sum is 35.

The square root of 53135936 is about 7289.4400333633. The cubic root of 53135936 is about 375.9494424251.

The spelling of 53135936 in words is "fifty-three million, one hundred thirty-five thousand, nine hundred thirty-six".