52052420 has 48 divisors (see below), whose sum is σ = 125747328. Its totient is φ = 17729280.

The previous prime is 52052417. The next prime is 52052423. The reversal of 52052420 is 2425025.

It is an interprime number because it is at equal distance from previous prime (52052417) and next prime (52052423).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 52052392 and 52052401.

It is not an unprimeable number, because it can be changed into a prime (52052423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21680 + ... + 23960.

It is an arithmetic number, because the mean of its divisors is an integer number (2619736).

Almost surely, 2^52052420 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 52052420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62873664).

52052420 is an abundant number, since it is smaller than the sum of its proper divisors (73694908).

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

52052420 is a wasteful number, since it uses less digits than its factorization.

52052420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 52052420 is about 7214.7363084177. The cubic root of 52052420 is about 373.3764955057.

52052420 divided by its sum of digits (20) gives a triangular number (2602621 = T₂₂₈₁).

Adding to 52052420 its reverse (2425025), we get a palindrome (54477445).

The spelling of 52052420 in words is "fifty-two million, fifty-two thousand, four hundred twenty".