509190960100 has 18 divisors (see below), whose sum is σ = 1104944383634. Its totient is φ = 203676384000.

The previous prime is 509190960097. The next prime is 509190960107. The reversal of 509190960100 is 1069091905.

It can be written as a sum of positive squares in 3 ways, for example, as 25342729636 + 483848230464 = 159194^2 + 695592^2 .

It is not an unprimeable number, because it can be changed into a prime (509190960107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2545954701 + ... + 2545954900.

Almost surely, 2^509190960100 is an apocalyptic number.

509190960100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

509190960100 is an abundant number, since it is smaller than the sum of its proper divisors (595753423534).

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

509190960100 is a wasteful number, since it uses less digits than its factorization.

509190960100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5091909615 (or 5091909608 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 40.

The spelling of 509190960100 in words is "five hundred nine billion, one hundred ninety million, nine hundred sixty thousand, one hundred".