52152000 has 224 divisors, whose sum is σ = 179734464. Its totient is φ = 13312000.

The previous prime is 52151989. The next prime is 52152019. The reversal of 52152000 is 25125.

It is a super-2 number, since 2×52152000² = 5439662208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983974 + ... + 984026.

It is an arithmetic number, because the mean of its divisors is an integer number (802386).

Almost surely, 2^52152000 is an apocalyptic number.

52152000 is a gapful number since it is divisible by the number (50) 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 52152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89867232).

52152000 is an abundant number, since it is smaller than the sum of its proper divisors (127582464).

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

52152000 is a wasteful number, since it uses less digits than its factorization.

52152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 52152000 is about 7221.6341640933. The cubic root of 52152000 is about 373.6144424749.

Adding to 52152000 its reverse (25125), we get a palindrome (52177125).

The spelling of 52152000 in words is "fifty-two million, one hundred fifty-two thousand".