1009723522500 has 2025 divisors, whose sum is σ = 4367964457857. Its totient is φ = 202577760000.

The previous prime is 1009723522477. The next prime is 1009723522517. The reversal of 1009723522500 is 52253279001.

The square root of 1009723522500 is 1004850.

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

1009723522500 is a `hidden beast` number, since 10 + 0 + 9 + 72 + 3 + 522 + 50 + 0 = 666.

1009723522500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 755199236484 + 254524286016 = 869022^2 + 504504^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 34818052486 + ... + 34818052514.

Almost surely, 2^{1009723522500} is an apocalyptic number.

1009723522500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1009723522500 is the 1004850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009723522500

1009723522500 is an abundant number, since it is smaller than the sum of its proper divisors (3358240935357).

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

1009723522500 is a wasteful number, since it uses less digits than its factorization.

1009723522500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 1009723522500 by its sum of digits (36), we get a square (36350046810000 = 6029100²).

1009723522500 divided by its sum of digits (36) gives a square (28047875625 = 167475²).

The spelling of 1009723522500 in words is "one trillion, nine billion, seven hundred twenty-three million, five hundred twenty-two thousand, five hundred".