13587001463025 has 81 divisors (see below), whose sum is σ = 25149352101003. Its totient is φ = 7011761263200.

The previous prime is 13587001462999. The next prime is 13587001463029. The reversal of 13587001463025 is 52036410078531.

It is a happy number.

The square root of 13587001463025 is 3686055.

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

13587001463025 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 7 + 0 + 0 + 1 + 4 + 630 + 2 + 5 = 666.

13587001463025 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 only one way, i.e., 4891320526689 + 8695680936336 = 2211633^2 + 2948844^2 .

It is not a de Polignac number, because 13587001463025 - 2¹⁵ = 13587001430257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13587001463029) 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, 1714011612 + ... + 1714019538.

Almost surely, 2^{13587001463025} is an apocalyptic number.

13587001463025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13587001463025 is the 3686055-th square number.

13587001463025 is the 1843028-th centered octagonal number.

It is an amenable number.

13587001463025 is a deficient number, since it is larger than the sum of its proper divisors (11562350637978).

13587001463025 is an frugal number, since it uses more digits than its factorization.

13587001463025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15932 (or 7966 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 13587001463025 in words is "thirteen trillion, five hundred eighty-seven billion, one million, four hundred sixty-three thousand, twenty-five".