1002513834 has 360 divisors, whose sum is σ = 3049025760. Its totient is φ = 244290816.

The previous prime is 1002513797. The next prime is 1002513839. The reversal of 1002513834 is 4383152001.

It is a happy number.

1002513834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1002513834³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 1002513798 and 1002513807.

It is not an unprimeable number, because it can be changed into a prime (1002513839) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 43587547 + ... + 43587569.

It is an arithmetic number, because the mean of its divisors is an integer number (8469516).

Almost surely, 2^1002513834 is an apocalyptic number.

1002513834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002513834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524512880).

1002513834 is an abundant number, since it is smaller than the sum of its proper divisors (2046511926).

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

1002513834 is a wasteful number, since it uses less digits than its factorization.

1002513834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

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

The square root of 1002513834 is about 31662.4988590604. The cubic root of 1002513834 is about 1000.8372434944.

Adding to 1002513834 its reverse (4383152001), we get a palindrome (5385665835).

The spelling of 1002513834 in words is "one billion, two million, five hundred thirteen thousand, eight hundred thirty-four".