53766252 has 72 divisors (see below), whose sum is σ = 141414000. Its totient is φ = 17210880.

The previous prime is 53766247. The next prime is 53766253. The reversal of 53766252 is 25266735.

It is a happy number.

It is a super-3 number, since 3×53766252³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53766253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107499 + ... + 107997.

Almost surely, 2^53766252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53766252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70707000).

53766252 is an abundant number, since it is smaller than the sum of its proper divisors (87647748).

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

53766252 is a wasteful number, since it uses less digits than its factorization.

53766252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 618 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 53766252 is about 7332.5474427378. The cubic root of 53766252 is about 377.4301483259.

It can be divided in two parts, 5376 and 6252, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 53766252 in words is "fifty-three million, seven hundred sixty-six thousand, two hundred fifty-two".