509842245100 has 72 divisors (see below), whose sum is σ = 1171635666768. Its totient is φ = 191908147200.

The previous prime is 509842244993. The next prime is 509842245149. The reversal of 509842245100 is 1542248905.

It is a happy number.

It is a super-2 number, since 2×509842245100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11594155 + ... + 11638045.

It is an arithmetic number, because the mean of its divisors is an integer number (16272717594).

Almost surely, 2^509842245100 is an apocalyptic number.

509842245100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

509842245100 is an abundant number, since it is smaller than the sum of its proper divisors (661793421668).

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

509842245100 is a wasteful number, since it uses less digits than its factorization.

509842245100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50755 (or 50748 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 509842245100 in words is "five hundred nine billion, eight hundred forty-two million, two hundred forty-five thousand, one hundred".