61528100 has 54 divisors (see below), whose sum is σ = 141898470. Its totient is φ = 23152640.

The previous prime is 61528097. The next prime is 61528109. The reversal of 61528100 is 182516.

It can be written as a sum of positive squares in 9 ways, for example, as 7974976 + 53553124 = 2824^2 + 7318^2 .

It is a super-2 number, since 2×61528100² = 7571414179220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61528109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27836 + ... + 29964.

Almost surely, 2^61528100 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 61528100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70949235).

61528100 is an abundant number, since it is smaller than the sum of its proper divisors (80370370).

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

61528100 is a wasteful number, since it uses less digits than its factorization.

61528100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 61528100 is about 7843.9849566403. The cubic root of 61528100 is about 394.7824470974.

The spelling of 61528100 in words is "sixty-one million, five hundred twenty-eight thousand, one hundred".