47523564001 has 9 divisors (see below), whose sum is σ = 47756430099. Its totient is φ = 47291831064.

The previous prime is 47523563963. The next prime is 47523564017. The reversal of 47523564001 is 10046532574.

The square root of 47523564001 is 217999.

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., 8191155025 + 39332408976 = 90505^2 + 198324^2 .

It is not a de Polignac number, because 47523564001 - 2⁷ = 47523563873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47523564061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60385330 + ... + 60386116.

It is an arithmetic number, because the mean of its divisors is an integer number (5306270011).

Almost surely, 2^47523564001 is an apocalyptic number.

47523564001 is the 217999-th square number.

47523564001 is the 109000-th centered octagonal number.

It is an amenable number.

47523564001 is a deficient number, since it is larger than the sum of its proper divisors (232866098).

47523564001 is an frugal number, since it uses more digits than its factorization.

47523564001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

It can be divided in two parts, 47523 and 564001, that added together give a square (611524 = 782²).

The spelling of 47523564001 in words is "forty-seven billion, five hundred twenty-three million, five hundred sixty-four thousand, one".