725015174525233 has 2 divisors, whose sum is σ = 725015174525234. Its totient is φ = 725015174525232.

The previous prime is 725015174525219. The next prime is 725015174525309. The reversal of 725015174525233 is 332525471510527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 722534776320049 + 2480398205184 = 26880007^2 + 1574928^2 .

It is a cyclic number.

It is not a de Polignac number, because 725015174525233 - 2¹³ = 725015174517041 is a prime.

It is not a weakly prime, because it can be changed into another prime (725015175525233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362507587262616 + 362507587262617.

It is an arithmetic number, because the mean of its divisors is an integer number (362507587262617).

Almost surely, 2^{725015174525233} is an apocalyptic number.

It is an amenable number.

725015174525233 is a deficient number, since it is larger than the sum of its proper divisors (1).

725015174525233 is an equidigital number, since it uses as much as digits as its factorization.

725015174525233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820000, while the sum is 52.

The spelling of 725015174525233 in words is "seven hundred twenty-five trillion, fifteen billion, one hundred seventy-four million, five hundred twenty-five thousand, two hundred thirty-three".