2013505202500 has 240 divisors, whose sum is σ = 5091589419840. Its totient is φ = 688353280000.

The previous prime is 2013505202461. The next prime is 2013505202507. The reversal of 2013505202500 is 52025053102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2013505202507) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 568945731 + ... + 568949269.

It is an arithmetic number, because the mean of its divisors is an integer number (21214955916).

Almost surely, 2^{2013505202500} is an apocalyptic number.

2013505202500 is a gapful number since it is divisible by the number (20) 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 2013505202500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545794709920).

2013505202500 is an abundant number, since it is smaller than the sum of its proper divisors (3078084217340).

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

2013505202500 is a wasteful number, since it uses less digits than its factorization.

2013505202500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4808 (or 4791 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 2013505202500 in words is "two trillion, thirteen billion, five hundred five million, two hundred two thousand, five hundred".