52692100 has 36 divisors (see below), whose sum is σ = 114691444. Its totient is φ = 21012480.

The previous prime is 52692097. The next prime is 52692109. The reversal of 52692100 is 129625.

It can be written as a sum of positive squares in 6 ways, for example, as 2452356 + 50239744 = 1566^2 + 7088^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52692109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45124 + ... + 46276.

Almost surely, 2^52692100 is an apocalyptic number.

52692100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52692100 is an abundant number, since it is smaller than the sum of its proper divisors (61999344).

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

52692100 is a wasteful number, since it uses less digits than its factorization.

52692100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 52692100 is about 7258.9324283947. The cubic root of 52692100 is about 374.8997658033.

The spelling of 52692100 in words is "fifty-two million, six hundred ninety-two thousand, one hundred".