509100010100 has 54 divisors (see below), whose sum is σ = 1214308738902. Its totient is φ = 185127272000.

The previous prime is 509100010091. The next prime is 509100010103. The reversal of 509100010100 is 1010001905.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 145493422096 + 363606588004 = 381436^2 + 602998^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509100010103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21025091 + ... + 21049290.

Almost surely, 2^509100010100 is an apocalyptic number.

509100010100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

509100010100 is an abundant number, since it is smaller than the sum of its proper divisors (705208728802).

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

509100010100 is a wasteful number, since it uses less digits than its factorization.

509100010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42074417 (or 42074399 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 17.

The spelling of 509100010100 in words is "five hundred nine billion, one hundred million, ten thousand, one hundred".