537812100 has 216 divisors, whose sum is σ = 2028411840. Its totient is φ = 116432640.

The previous prime is 537812083. The next prime is 537812111. The reversal of 537812100 is 1218735.

537812100 is a `hidden beast` number, since 537 + 8 + 121 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117454 + ... + 121946.

Almost surely, 2^537812100 is an apocalyptic number.

537812100 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 537812100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014205920).

537812100 is an abundant number, since it is smaller than the sum of its proper divisors (1490599740).

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

537812100 is a wasteful number, since it uses less digits than its factorization.

537812100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 537812100 is about 23190.7761836468. The cubic root of 537812100 is about 813.2240047588.

The spelling of 537812100 in words is "five hundred thirty-seven million, eight hundred twelve thousand, one hundred".