4105213537 has 2 divisors, whose sum is σ = 4105213538. Its totient is φ = 4105213536.

The previous prime is 4105213493. The next prime is 4105213547. The reversal of 4105213537 is 7353125014.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3137008081 + 968205456 = 56009^2 + 31116^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4105213537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4105213499 and 4105213508.

It is not a weakly prime, because it can be changed into another prime (4105213547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2052606768 + 2052606769.

It is an arithmetic number, because the mean of its divisors is an integer number (2052606769).

Almost surely, 2^4105213537 is an apocalyptic number.

It is an amenable number.

4105213537 is a deficient number, since it is larger than the sum of its proper divisors (1).

4105213537 is an equidigital number, since it uses as much as digits as its factorization.

4105213537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 4105213537 is about 64071.9403249191. The cubic root of 4105213537 is about 1601.1987809003.

It can be divided in two parts, 4105 and 213537, that multiplied together give a triangular number (876569385 = T₄₁₈₇₀).

The spelling of 4105213537 in words is "four billion, one hundred five million, two hundred thirteen thousand, five hundred thirty-seven".