513922104 has 128 divisors (see below), whose sum is σ = 1522152000. Its totient is φ = 160100352.

The previous prime is 513922103. The next prime is 513922147. The reversal of 513922104 is 401229315.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513922103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634852 + ... + 635660.

Almost surely, 2^513922104 is an apocalyptic number.

513922104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513922104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761076000).

513922104 is an abundant number, since it is smaller than the sum of its proper divisors (1008229896).

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

513922104 is a wasteful number, since it uses less digits than its factorization.

513922104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 513922104 is about 22669.8501097824. The cubic root of 513922104 is about 800.9998456985. Note that the first 3 decimals are identical.

The spelling of 513922104 in words is "five hundred thirteen million, nine hundred twenty-two thousand, one hundred four".