13784505137001 has 81 divisors (see below), whose sum is σ = 21667203251109. Its totient is φ = 8442969437952.

The previous prime is 13784505136921. The next prime is 13784505137009. The reversal of 13784505137001 is 10073150548731.

The square root of 13784505137001 is 3712749.

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

13784505137001 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 4 + 505 + 137 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 419192797401 + 13365312339600 = 647451^2 + 3655860^2 .

It is not a de Polignac number, because 13784505137001 - 2³⁹ = 13234749323113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13784505137009) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8142057711 + ... + 8142059403.

Almost surely, 2^{13784505137001} is an apocalyptic number.

13784505137001 is the 3712749-th square number.

13784505137001 is the 1856375-th centered octagonal number.

It is an amenable number.

13784505137001 is a deficient number, since it is larger than the sum of its proper divisors (7882698114108).

13784505137001 is an frugal number, since it uses more digits than its factorization.

13784505137001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 13784505137001 in words is "thirteen trillion, seven hundred eighty-four billion, five hundred five million, one hundred thirty-seven thousand, one".