505089527100 has 144 divisors (see below), whose sum is σ = 1503536850816. Its totient is φ = 130819104000.

The previous prime is 505089527093. The next prime is 505089527147. The reversal of 505089527100 is 1725980505.

It is a super-2 number, since 2×505089527100² (a number of 24 digits) contains 22 as substring.

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, 6298255 + ... + 6377945.

Almost surely, 2^505089527100 is an apocalyptic number.

505089527100 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 505089527100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751768425408).

505089527100 is an abundant number, since it is smaller than the sum of its proper divisors (998447323716).

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

505089527100 is a wasteful number, since it uses less digits than its factorization.

505089527100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80316 (or 80309 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 42.

The spelling of 505089527100 in words is "five hundred five billion, eighty-nine million, five hundred twenty-seven thousand, one hundred".