252602580373441 has 2 divisors, whose sum is σ = 252602580373442. Its totient is φ = 252602580373440.

The previous prime is 252602580373303. The next prime is 252602580373457. The reversal of 252602580373441 is 144373085206252.

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., 150251724113841 + 102350856259600 = 12257721^2 + 10116860^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-252602580373441 is a prime.

It is a super-2 number, since 2×252602580373441² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (252602580373471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126301290186720 + 126301290186721.

It is an arithmetic number, because the mean of its divisors is an integer number (126301290186721).

Almost surely, 2^{252602580373441} is an apocalyptic number.

It is an amenable number.

252602580373441 is a deficient number, since it is larger than the sum of its proper divisors (1).

252602580373441 is an equidigital number, since it uses as much as digits as its factorization.

252602580373441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9676800, while the sum is 52.

The spelling of 252602580373441 in words is "two hundred fifty-two trillion, six hundred two billion, five hundred eighty million, three hundred seventy-three thousand, four hundred forty-one".