20382507060601 has 81 divisors (see below), whose sum is σ = 24828872409999. Its totient is φ = 16683293626272.

The previous prime is 20382507060583. The next prime is 20382507060613. The reversal of 20382507060601 is 10606070528302.

The square root of 20382507060601 is 4514699.

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

It can be written as a sum of positive squares in only one way, i.e., 14693690565225 + 5688816495376 = 3833235^2 + 2385124^2 .

It is not a de Polignac number, because 20382507060601 - 2¹⁹ = 20382506536313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20382507060301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 72022993006 + ... + 72022993288.

Almost surely, 2^{20382507060601} is an apocalyptic number.

20382507060601 is the 4514699-th square number.

20382507060601 is the 2257350-th centered octagonal number.

It is an amenable number.

20382507060601 is a deficient number, since it is larger than the sum of its proper divisors (4446365349398).

20382507060601 is an frugal number, since it uses more digits than its factorization.

20382507060601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

Adding to 20382507060601 its reverse (10606070528302), we get a palindrome (30988577588903).

The spelling of 20382507060601 in words is "twenty trillion, three hundred eighty-two billion, five hundred seven million, sixty thousand, six hundred one".