2626541638053 has 32 divisors (see below), whose sum is σ = 3585845414400. Its totient is φ = 1709667648000.

The previous prime is 2626541638031. The next prime is 2626541638079. The reversal of 2626541638053 is 3508361456262.

It is a de Polignac number, because none of the positive numbers 2^k-2626541638053 is a prime.

It is a super-3 number, since 3×2626541638053³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2626541637987 and 2626541638005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2626541638013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19777593 + ... + 19909953.

It is an arithmetic number, because the mean of its divisors is an integer number (112057669200).

Almost surely, 2^{2626541638053} is an apocalyptic number.

It is an amenable number.

2626541638053 is a deficient number, since it is larger than the sum of its proper divisors (959303776347).

2626541638053 is a wasteful number, since it uses less digits than its factorization.

2626541638053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133373.

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 2626541638053 in words is "two trillion, six hundred twenty-six billion, five hundred forty-one million, six hundred thirty-eight thousand, fifty-three".