4725193410001 has 9 divisors (see below), whose sum is σ = 4882605589659. Its totient is φ = 4572702603600.

The previous prime is 4725193409987. The next prime is 4725193410031. The reversal of 4725193410001 is 1000143915274.

It is a happy number.

The square root of 4725193410001 is 2173751.

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., 344042075601 + 4381151334400 = 586551^2 + 2093120^2 .

It is not a de Polignac number, because 4725193410001 - 2⁵ = 4725193409969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4725193410031) 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, 67351221 + ... + 67421341.

Almost surely, 2^{4725193410001} is an apocalyptic number.

4725193410001 is the 2173751-st square number.

4725193410001 is the 1086876-th centered octagonal number.

It is an amenable number.

4725193410001 is a deficient number, since it is larger than the sum of its proper divisors (157412179658).

4725193410001 is an frugal number, since it uses more digits than its factorization.

4725193410001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140304 (or 70152 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 4725193410001 in words is "four trillion, seven hundred twenty-five billion, one hundred ninety-three million, four hundred ten thousand, one".