519913890 has 120 divisors (see below), whose sum is σ = 1485731412. Its totient is φ = 130429440.

The previous prime is 519913871. The next prime is 519913897. The reversal of 519913890 is 98319915.

It can be written as a sum of positive squares in 6 ways, for example, as 413349561 + 106564329 = 20331^2 + 10323^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (519913897) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 232980 + ... + 235200.

Almost surely, 2^519913890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 519913890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742865706).

519913890 is an abundant number, since it is smaller than the sum of its proper divisors (965817522).

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

519913890 is a wasteful number, since it uses less digits than its factorization.

519913890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The square root of 519913890 is about 22801.6203371603. The cubic root of 519913890 is about 804.1007614860.

The spelling of 519913890 in words is "five hundred nineteen million, nine hundred thirteen thousand, eight hundred ninety".