113535002505541 has 2 divisors, whose sum is σ = 113535002505542. Its totient is φ = 113535002505540.

The previous prime is 113535002505527. The next prime is 113535002505583. The reversal of 113535002505541 is 145505200535311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73576851513025 + 39958150992516 = 8577695^2 + 6321246^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113535002505541 is a prime.

It is a super-2 number, since 2×113535002505541² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113535002505494 and 113535002505503.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113535002500541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56767501252770 + 56767501252771.

It is an arithmetic number, because the mean of its divisors is an integer number (56767501252771).

Almost surely, 2^{113535002505541} is an apocalyptic number.

It is an amenable number.

113535002505541 is a deficient number, since it is larger than the sum of its proper divisors (1).

113535002505541 is an equidigital number, since it uses as much as digits as its factorization.

113535002505541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225000, while the sum is 40.

The spelling of 113535002505541 in words is "one hundred thirteen trillion, five hundred thirty-five billion, two million, five hundred five thousand, five hundred forty-one".