52631100 has 144 divisors (see below), whose sum is σ = 171759840. Its totient is φ = 13824000.

The previous prime is 52631081. The next prime is 52631119. The reversal of 52631100 is 113625.

It is an interprime number because it is at equal distance from previous prime (52631081) and next prime (52631119).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272604 + ... + 272796.

Almost surely, 2^52631100 is an apocalyptic number.

52631100 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 52631100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85879920).

52631100 is an abundant number, since it is smaller than the sum of its proper divisors (119128740).

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

52631100 is a wasteful number, since it uses less digits than its factorization.

52631100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 52631100 is about 7254.7294918556. The cubic root of 52631100 is about 374.7550400205.

Adding to 52631100 its reverse (113625), we get a palindrome (52744725).

It can be divided in two parts, 526 and 31100, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 52631100 in words is "fifty-two million, six hundred thirty-one thousand, one hundred".