1002519252 has 72 divisors (see below), whose sum is σ = 2904720000. Its totient is φ = 285588288.

The previous prime is 1002519251. The next prime is 1002519253. The reversal of 1002519252 is 2529152001.

It is an interprime number because it is at equal distance from previous prime (1002519251) and next prime (1002519253).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002519251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82249 + ... + 93647.

Almost surely, 2^1002519252 is an apocalyptic number.

1002519252 is a gapful number since it is divisible by the number (12) 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 1002519252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452360000).

1002519252 is an abundant number, since it is smaller than the sum of its proper divisors (1902200748).

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

1002519252 is a wasteful number, since it uses less digits than its factorization.

1002519252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11765 (or 11760 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1002519252 is about 31662.5844175740. The cubic root of 1002519252 is about 1000.8390464708.

The spelling of 1002519252 in words is "one billion, two million, five hundred nineteen thousand, two hundred fifty-two".