15452753138001 has 45 divisors (see below), whose sum is σ = 23344639057051. Its totient is φ = 9849951366288.

The previous prime is 15452753137967. The next prime is 15452753138051. The reversal of 15452753138001 is 10083135725451.

The square root of 15452753138001 is 3930999.

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

15452753138001 is a `hidden beast` number, since 1 + 545 + 2 + 75 + 3 + 1 + 38 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7757255484225 + 7695497653776 = 2785185^2 + 2774076^2 .

It is not a de Polignac number, because 15452753138001 - 2⁷ = 15452753137873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15452753138051) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6238494175 + ... + 6238496651.

Almost surely, 2^{15452753138001} is an apocalyptic number.

15452753138001 is the 3930999-th square number.

15452753138001 is the 1965500-th centered octagonal number.

It is an amenable number.

15452753138001 is a deficient number, since it is larger than the sum of its proper divisors (7891885919050).

15452753138001 is an frugal number, since it uses more digits than its factorization.

15452753138001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 15452753138001 in words is "fifteen trillion, four hundred fifty-two billion, seven hundred fifty-three million, one hundred thirty-eight thousand, one".