252410889467749 has 2 divisors, whose sum is σ = 252410889467750. Its totient is φ = 252410889467748.

The previous prime is 252410889467669. The next prime is 252410889467813. The reversal of 252410889467749 is 947764988014252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143686850433025 + 108724039034724 = 11986945^2 + 10427082^2 .

It is a cyclic number.

It is not a de Polignac number, because 252410889467749 - 2¹¹ = 252410889465701 is a prime.

It is a super-2 number, since 2×252410889467749² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252410889477749) 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, 126205444733874 + 126205444733875.

It is an arithmetic number, because the mean of its divisors is an integer number (126205444733875).

Almost surely, 2^{252410889467749} is an apocalyptic number.

It is an amenable number.

252410889467749 is a deficient number, since it is larger than the sum of its proper divisors (1).

252410889467749 is an equidigital number, since it uses as much as digits as its factorization.

252410889467749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1950842880, while the sum is 76.

The spelling of 252410889467749 in words is "two hundred fifty-two trillion, four hundred ten billion, eight hundred eighty-nine million, four hundred sixty-seven thousand, seven hundred forty-nine".