19755252 has 120 divisors (see below), whose sum is σ = 59032512. Its totient is φ = 5702400.

The previous prime is 19755251. The next prime is 19755257. The reversal of 19755252 is 25255791.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19755251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81852 + ... + 82092.

Almost surely, 2^19755252 is an apocalyptic number.

19755252 is a gapful number since it is divisible by the number (12) 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 19755252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29516256).

19755252 is an abundant number, since it is smaller than the sum of its proper divisors (39277260).

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

19755252 is a wasteful number, since it uses less digits than its factorization.

19755252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its digits is 31500, while the sum is 36.

The square root of 19755252 is about 4444.6880655452. The cubic root of 19755252 is about 270.3299669535.

It can be divided in two parts, 1975 and 5252, that added together give a palindrome (7227).

The spelling of 19755252 in words is "nineteen million, seven hundred fifty-five thousand, two hundred fifty-two".