145517824729 has 2 divisors, whose sum is σ = 145517824730. Its totient is φ = 145517824728.

The previous prime is 145517824681. The next prime is 145517824747. The reversal of 145517824729 is 927428715541.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 145353087504 + 164737225 = 381252^2 + 12835^2 .

It is a cyclic number.

It is not a de Polignac number, because 145517824729 - 2²⁵ = 145484270297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 145517824729.

It is not a weakly prime, because it can be changed into another prime (145517894729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72758912364 + 72758912365.

It is an arithmetic number, because the mean of its divisors is an integer number (72758912365).

Almost surely, 2^145517824729 is an apocalyptic number.

It is an amenable number.

145517824729 is a deficient number, since it is larger than the sum of its proper divisors (1).

145517824729 is an equidigital number, since it uses as much as digits as its factorization.

145517824729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5644800, while the sum is 55.

The spelling of 145517824729 in words is "one hundred forty-five billion, five hundred seventeen million, eight hundred twenty-four thousand, seven hundred twenty-nine".