2463598038601 has 64 divisors (see below), whose sum is σ = 3028838404096. Its totient is φ = 1959104102400.

The previous prime is 2463598038589. The next prime is 2463598038613. The reversal of 2463598038601 is 1068308953642.

It is an interprime number because it is at equal distance from previous prime (2463598038589) and next prime (2463598038613).

It is a 5-Lehmer number, since φ(2463598038601) divides (2463598038601-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 2463598038601 - 2⁵ = 2463598038569 is a prime.

It is a super-3 number, since 3×2463598038601³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2463598038641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 950094361 + ... + 950096953.

It is an arithmetic number, because the mean of its divisors is an integer number (47325600064).

It is a Poulet number, since it divides 2^{2463598038600}-1.

Almost surely, 2^{2463598038601} is an apocalyptic number.

2463598038601 is the 906201-st hex number.

It is an amenable number.

2463598038601 is a deficient number, since it is larger than the sum of its proper divisors (565240365495).

2463598038601 is a wasteful number, since it uses less digits than its factorization.

2463598038601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362.

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 2463598038601 in words is "two trillion, four hundred sixty-three billion, five hundred ninety-eight million, thirty-eight thousand, six hundred one".