395013507001 has 15 divisors (see below), whose sum is σ = 417198164703. Its totient is φ = 374008375080.

The previous prime is 395013506981. The next prime is 395013507013. The reversal of 395013507001 is 100705310593.

The square root of 395013507001 is 628501.

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., 453647401 + 394559859600 = 21299^2 + 628140^2 .

It is not a de Polignac number, because 395013507001 - 2²³ = 395005118393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (395013507071) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 226887991 + ... + 226889731.

Almost surely, 2^395013507001 is an apocalyptic number.

395013507001 is the 628501-st square number.

395013507001 is the 314251-st centered octagonal number.

It is an amenable number.

395013507001 is a deficient number, since it is larger than the sum of its proper divisors (22184657702).

395013507001 is an frugal number, since it uses more digits than its factorization.

395013507001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 34.

Adding to 395013507001 its reverse (100705310593), we get a palindrome (495718817594).

The spelling of 395013507001 in words is "three hundred ninety-five billion, thirteen million, five hundred seven thousand, one".