71739010010153 has 2 divisors, whose sum is σ = 71739010010154. Its totient is φ = 71739010010152.

The previous prime is 71739010010081. The next prime is 71739010010167. The reversal of 71739010010153 is 35101001093717.

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., 37092095147584 + 34646914862569 = 6090328^2 + 5886163^2 .

It is a cyclic number.

It is not a de Polignac number, because 71739010010153 - 2¹² = 71739010006057 is a prime.

It is not a weakly prime, because it can be changed into another prime (71739010010953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35869505005076 + 35869505005077.

It is an arithmetic number, because the mean of its divisors is an integer number (35869505005077).

Almost surely, 2^{71739010010153} is an apocalyptic number.

It is an amenable number.

71739010010153 is a deficient number, since it is larger than the sum of its proper divisors (1).

71739010010153 is an equidigital number, since it uses as much as digits as its factorization.

71739010010153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19845, while the sum is 38.

The spelling of 71739010010153 in words is "seventy-one trillion, seven hundred thirty-nine billion, ten million, ten thousand, one hundred fifty-three".