145827492593 has 2 divisors, whose sum is σ = 145827492594. Its totient is φ = 145827492592.

The previous prime is 145827492557. The next prime is 145827492599. The reversal of 145827492593 is 395294728541.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 145452992689 + 374499904 = 381383^2 + 19352^2 .

It is an emirp because it is prime and its reverse (395294728541) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 145827492593 - 2¹² = 145827488497 is a prime.

It is a super-2 number, since 2×145827492593² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (145827492599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72913746296 + 72913746297.

It is an arithmetic number, because the mean of its divisors is an integer number (72913746297).

Almost surely, 2^145827492593 is an apocalyptic number.

It is an amenable number.

145827492593 is a deficient number, since it is larger than the sum of its proper divisors (1).

145827492593 is an equidigital number, since it uses as much as digits as its factorization.

145827492593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21772800, while the sum is 59.

The spelling of 145827492593 in words is "one hundred forty-five billion, eight hundred twenty-seven million, four hundred ninety-two thousand, five hundred ninety-three".