52701600 has 144 divisors (see below), whose sum is σ = 196112448. Its totient is φ = 12042240.

The previous prime is 52701599. The next prime is 52701601. The reversal of 52701600 is 610725.

It is an interprime number because it is at equal distance from previous prime (52701599) and next prime (52701601).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (52701601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15232 + ... + 18368.

It is an arithmetic number, because the mean of its divisors is an integer number (1361892).

Almost surely, 2^52701600 is an apocalyptic number.

52701600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98056224).

52701600 is an abundant number, since it is smaller than the sum of its proper divisors (143410848).

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

52701600 is a wasteful number, since it uses less digits than its factorization.

52701600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 52701600 is about 7259.5867650990. The cubic root of 52701600 is about 374.9222950107.

It can be divided in two parts, 52701 and 600, that added together give a triangular number (53301 = T₃₂₆).

The spelling of 52701600 in words is "fifty-two million, seven hundred one thousand, six hundred".