1079003640001 has 135 divisors (see below), whose sum is σ = 1417817241321. Its totient is φ = 820895830272.

The previous prime is 1079003639999. The next prime is 1079003640019. The reversal of 1079003640001 is 1000463009701.

It is a happy number.

The square root of 1079003640001 is 1038751.

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

1079003640001 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 4 ways, for example, as 106657762225 + 972345877776 = 326585^2 + 986076^2 .

It is not a de Polignac number, because 1079003640001 - 2¹ = 1079003639999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1079003640031) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 25093107886 + ... + 25093107928.

Almost surely, 2^{1079003640001} is an apocalyptic number.

1079003640001 is the 1038751-st square number.

1079003640001 is the 519376-th centered octagonal number.

It is an amenable number.

1079003640001 is a deficient number, since it is larger than the sum of its proper divisors (338813601320).

1079003640001 is an frugal number, since it uses more digits than its factorization.

1079003640001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

Adding to 1079003640001 its reverse (1000463009701), we get a palindrome (2079466649702).

The spelling of 1079003640001 in words is "one trillion, seventy-nine billion, three million, six hundred forty thousand, one".