61516900 has 36 divisors (see below), whose sum is σ = 133866432. Its totient is φ = 24537760.

The previous prime is 61516891. The next prime is 61516901. The reversal of 61516900 is 961516.

61516900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61516900² = 7568657971220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61516901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49689 + ... + 50911.

It is an arithmetic number, because the mean of its divisors is an integer number (3718512).

Almost surely, 2^61516900 is an apocalyptic number.

It is an amenable number.

61516900 is an abundant number, since it is smaller than the sum of its proper divisors (72349532).

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

61516900 is a wasteful number, since it uses less digits than its factorization.

61516900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 61516900 is about 7843.2710013106. The cubic root of 61516900 is about 394.7584914754.

It can be divided in two parts, 61 and 516900, that added together give a square (516961 = 719²).

The spelling of 61516900 in words is "sixty-one million, five hundred sixteen thousand, nine hundred".