4013607553201 has 27 divisors (see below), whose sum is σ = 4292987184577. Its totient is φ = 3751645103360.

The previous prime is 4013607553157. The next prime is 4013607553211. The reversal of 4013607553201 is 1023557063104.

The square root of 4013607553201 is 2003399.

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

It can be written as a sum of positive squares in 4 ways, for example, as 394633983601 + 3618973569600 = 628199^2 + 1902360^2 .

It is not a de Polignac number, because 4013607553201 - 2⁷ = 4013607553073 is a prime.

It is a super-2 number, since 2×4013607553201² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4013607553211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6505036245 + ... + 6505036861.

Almost surely, 2^{4013607553201} is an apocalyptic number.

4013607553201 is the 2003399-th square number.

4013607553201 is the 1001700-th centered octagonal number.

It is an amenable number.

4013607553201 is a deficient number, since it is larger than the sum of its proper divisors (279379631376).

4013607553201 is an frugal number, since it uses more digits than its factorization.

4013607553201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 4013607553201 in words is "four trillion, thirteen billion, six hundred seven million, five hundred fifty-three thousand, two hundred one".