52578100 has 18 divisors (see below), whose sum is σ = 114094694. Its totient is φ = 21031200.

The previous prime is 52578091. The next prime is 52578137. The reversal of 52578100 is 187525.

It can be written as a sum of positive squares in 3 ways, for example, as 824464 + 51753636 = 908^2 + 7194^2 .

It is a super-2 number, since 2×52578100² = 5528913199220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 262791 + ... + 262990.

Almost surely, 2^52578100 is an apocalyptic number.

52578100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52578100 is an abundant number, since it is smaller than the sum of its proper divisors (61516594).

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

52578100 is a wasteful number, since it uses less digits than its factorization.

52578100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525795 (or 525788 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 52578100 is about 7251.0757822547. The cubic root of 52578100 is about 374.6292038518.

The spelling of 52578100 in words is "fifty-two million, five hundred seventy-eight thousand, one hundred".