52616900 has 36 divisors (see below), whose sum is σ = 130491648. Its totient is φ = 18039840.

The previous prime is 52616897. The next prime is 52616903. The reversal of 52616900 is 961625.

52616900 = 459² + 460² + ... + 633².

52616900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52616897) and next prime (52616903).

It is a super-2 number, since 2×52616900² = 5537076331220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52616903) 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, 36884 + ... + 38283.

It is an arithmetic number, because the mean of its divisors is an integer number (3624768).

Almost surely, 2^52616900 is an apocalyptic number.

52616900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52616900 is an abundant number, since it is smaller than the sum of its proper divisors (77874748).

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

52616900 is a wasteful number, since it uses less digits than its factorization.

52616900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75188 (or 75181 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 52616900 is about 7253.7507539203. The cubic root of 52616900 is about 374.7213337123.

The spelling of 52616900 in words is "fifty-two million, six hundred sixteen thousand, nine hundred".