1024538130 has 192 divisors, whose sum is σ = 3345159168. Its totient is φ = 211351680.

The previous prime is 1024538107. The next prime is 1024538143. The reversal of 1024538130 is 318354201.

It is a happy number.

1024538130 is a `hidden beast` number, since 10 + 245 + 381 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1024538094 and 1024538103.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1129137 + ... + 1130043.

It is an arithmetic number, because the mean of its divisors is an integer number (17422704).

Almost surely, 2^1024538130 is an apocalyptic number.

1024538130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024538130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672579584).

1024538130 is an abundant number, since it is smaller than the sum of its proper divisors (2320621038).

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

1024538130 is a wasteful number, since it uses less digits than its factorization.

1024538130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1024538130 is about 32008.4071768653. The cubic root of 1024538130 is about 1008.1133718383.

The spelling of 1024538130 in words is "one billion, twenty-four million, five hundred thirty-eight thousand, one hundred thirty".