52661000 has 64 divisors (see below), whose sum is σ = 140849280. Its totient is φ = 18052800.

The previous prime is 52660999. The next prime is 52661003. The reversal of 52661000 is 16625.

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

It is not an unprimeable number, because it can be changed into a prime (52661003) 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, 3239 + ... + 10761.

It is an arithmetic number, because the mean of its divisors is an integer number (2200770).

Almost surely, 2^52661000 is an apocalyptic number.

52661000 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 52661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70424640).

52661000 is an abundant number, since it is smaller than the sum of its proper divisors (88188280).

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

52661000 is a wasteful number, since it uses less digits than its factorization.

52661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7551 (or 7537 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 52661000 is about 7256.7899239264. The cubic root of 52661000 is about 374.8259933444.

Adding to 52661000 its reverse (16625), we get a palindrome (52677625).

The spelling of 52661000 in words is "fifty-two million, six hundred sixty-one thousand".