2003631757009 has 3 divisors (see below), whose sum is σ = 2003633172507. Its totient is φ = 2003630341512.

The previous prime is 2003631756923. The next prime is 2003631757021. The reversal of 2003631757009 is 9007571363002.

It is a happy number.

The square root of 2003631757009 is 1415497.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1887944700625 + 115687056384 = 1374025^2 + 340128^2 .

It is not a de Polignac number, because 2003631757009 - 2¹¹ = 2003631754961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2003631757109) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 707749 + ... + 2123245.

It is an arithmetic number, because the mean of its divisors is an integer number (667877724169).

Almost surely, 2^{2003631757009} is an apocalyptic number.

2003631757009 is the 1415497-th square number.

2003631757009 is the 707749-th centered octagonal number.

It is an amenable number.

2003631757009 is a deficient number, since it is larger than the sum of its proper divisors (1415498).

2003631757009 is an frugal number, since it uses more digits than its factorization.

2003631757009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830994 (or 1415497 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 43.

The spelling of 2003631757009 in words is "two trillion, three billion, six hundred thirty-one million, seven hundred fifty-seven thousand, nine".