5519004100 has 243 divisors, whose sum is σ = 14036156967. Its totient is φ = 1882805760.

The previous prime is 5519004079. The next prime is 5519004131. The reversal of 5519004100 is 14009155.

The square root of 5519004100 is 74290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 129095044 + 5389909056 = 11362^2 + 73416^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 239956689 + ... + 239956711.

Almost surely, 2^5519004100 is an apocalyptic number.

5519004100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5519004100 is the 74290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5519004100

5519004100 is an abundant number, since it is smaller than the sum of its proper divisors (8517152867).

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

5519004100 is a wasteful number, since it uses less digits than its factorization.

5519004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The cubic root of 5519004100 is about 1767.2048939573.

Multiplying 5519004100 by its sum of digits (25), we get a square (137975102500 = 371450²).

5519004100 divided by its sum of digits (25) gives a square (220760164 = 14858²).

Multiplying 5519004100 by its product of nonzero digits (900), we get a square (4967103690000 = 2228700²).

The spelling of 5519004100 in words is "five billion, five hundred nineteen million, four thousand, one hundred".