5163124607001 has 9 divisors (see below), whose sum is σ = 7457856500991. Its totient is φ = 3442078526832.

The previous prime is 5163124606967. The next prime is 5163124607023. The reversal of 5163124607001 is 1007064213615.

The square root of 5163124607001 is 2272251.

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

5163124607001 is a `hidden beast` number, since 5 + 16 + 31 + 2 + 4 + 607 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1925197875225 + 3237926731776 = 1387515^2 + 1799424^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-5163124607001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5163124607051) 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, 6438045 + ... + 7195461.

Almost surely, 2^{5163124607001} is an apocalyptic number.

5163124607001 is the 2272251-st square number.

5163124607001 is the 1136126-th centered octagonal number.

It is an amenable number.

5163124607001 is a deficient number, since it is larger than the sum of its proper divisors (2294731893990).

5163124607001 is an frugal number, since it uses more digits than its factorization.

5163124607001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514840 (or 757420 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 5163124607001 by its sum of digits (36), we get a square (185872485852036 = 13633506²).

The spelling of 5163124607001 in words is "five trillion, one hundred sixty-three billion, one hundred twenty-four million, six hundred seven thousand, one".