2536401918101 has 2 divisors, whose sum is σ = 2536401918102. Its totient is φ = 2536401918100.

The previous prime is 2536401918073. The next prime is 2536401918133. The reversal of 2536401918101 is 1018191046352.

It is a happy number.

2536401918101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2471809695601 + 64592222500 = 1572199^2 + 254150^2 .

It is a cyclic number.

It is not a de Polignac number, because 2536401918101 - 2¹⁴ = 2536401901717 is a prime.

It is a super-2 number, since 2×2536401918101² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2536401918191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1268200959050 + 1268200959051.

It is an arithmetic number, because the mean of its divisors is an integer number (1268200959051).

Almost surely, 2^{2536401918101} is an apocalyptic number.

It is an amenable number.

2536401918101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2536401918101 is an equidigital number, since it uses as much as digits as its factorization.

2536401918101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 41.

The spelling of 2536401918101 in words is "two trillion, five hundred thirty-six billion, four hundred one million, nine hundred eighteen thousand, one hundred one".