513970380 has 384 divisors, whose sum is σ = 2043740160. Its totient is φ = 104129280.

The previous prime is 513970363. The next prime is 513970381. The reversal of 513970380 is 83079315.

513970380 = T₁₄₁ + T₁₄₂ + ... + T₁₄₅₅.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (513970381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1954129 + ... + 1954391.

It is an arithmetic number, because the mean of its divisors is an integer number (5322240).

Almost surely, 2^513970380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513970380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021870080).

513970380 is an abundant number, since it is smaller than the sum of its proper divisors (1529769780).

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

513970380 is a wasteful number, since it uses less digits than its factorization.

513970380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 513970380 is about 22670.9148470017. The cubic root of 513970380 is about 801.0249259311.

The spelling of 513970380 in words is "five hundred thirteen million, nine hundred seventy thousand, three hundred eighty".