1002505350 has 384 divisors, whose sum is σ = 3329786880. Its totient is φ = 193536000.

The previous prime is 1002505349. The next prime is 1002505367. The reversal of 1002505350 is 535052001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13732914 + ... + 13732986.

It is an arithmetic number, because the mean of its divisors is an integer number (8671320).

Almost surely, 2^1002505350 is an apocalyptic number.

1002505350 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 1002505350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664893440).

1002505350 is an abundant number, since it is smaller than the sum of its proper divisors (2327281530).

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

1002505350 is a wasteful number, since it uses less digits than its factorization.

1002505350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 1002505350 is about 31662.3648832490. The cubic root of 1002505350 is about 1000.8344202159.

Adding to 1002505350 its reverse (535052001), we get a palindrome (1537557351).

The spelling of 1002505350 in words is "one billion, two million, five hundred five thousand, three hundred fifty".