1013142902500 has 135 divisors (see below), whose sum is σ = 2275530935293. Its totient is φ = 394567600000.

The previous prime is 1013142902479. The next prime is 1013142902539. The reversal of 1013142902500 is 52092413101.

The square root of 1013142902500 is 1006550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1009193031396 + 3949871104 = 1004586^2 + 62848^2 .

It is a super-2 number, since 2×1013142902500² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2063427255 + ... + 2063427745.

Almost surely, 2^{1013142902500} is an apocalyptic number.

1013142902500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1013142902500 is the 1006550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013142902500

1013142902500 is an abundant number, since it is smaller than the sum of its proper divisors (1262388032793).

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

1013142902500 is an frugal number, since it uses more digits than its factorization.

1013142902500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 1013142902500 in words is "one trillion, thirteen billion, one hundred forty-two million, nine hundred two thousand, five hundred".