53661300 has 288 divisors, whose sum is σ = 203986944. Its totient is φ = 10560000.

The previous prime is 53661287. The next prime is 53661317. The reversal of 53661300 is 316635.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 531250 + ... + 531350.

It is an arithmetic number, because the mean of its divisors is an integer number (708288).

Almost surely, 2^53661300 is an apocalyptic number.

53661300 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 53661300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101993472).

53661300 is an abundant number, since it is smaller than the sum of its proper divisors (150325644).

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

53661300 is a wasteful number, since it uses less digits than its factorization.

53661300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 53661300 is about 7325.3873617714. The cubic root of 53661300 is about 377.1844064974.

Adding to 53661300 its reverse (316635), we get a palindrome (53977935).

It can be divided in two parts, 5366 and 1300, that added together give a palindrome (6666).

The spelling of 53661300 in words is "fifty-three million, six hundred sixty-one thousand, three hundred".