1009723522501 has 8 divisors (see below), whose sum is σ = 1029465906840. Its totient is φ = 990006730752.

The previous prime is 1009723522477. The next prime is 1009723522517. The reversal of 1009723522501 is 1052253279001.

It is a happy number.

It is a Cunningham number, because it is equal to 1004850²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 1009723522500 = 1^2 + 1004850^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1009723522501 - 2¹³ = 1009723514309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009723522201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6318460 + ... + 6476293.

It is an arithmetic number, because the mean of its divisors is an integer number (128683238355).

Almost surely, 2^{1009723522501} is an apocalyptic number.

It is an amenable number.

1009723522501 is a deficient number, since it is larger than the sum of its proper divisors (19742384339).

1009723522501 is a wasteful number, since it uses less digits than its factorization.

1009723522501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12796295.

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 1009723522501 in words is "one trillion, nine billion, seven hundred twenty-three million, five hundred twenty-two thousand, five hundred one".