252221511551413 has 2 divisors, whose sum is σ = 252221511551414. Its totient is φ = 252221511551412.

The previous prime is 252221511551333. The next prime is 252221511551431. The reversal of 252221511551413 is 314155115122252.

Together with next prime (252221511551431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146495365839729 + 105726145711684 = 12103527^2 + 10282322^2 .

It is a cyclic number.

It is not a de Polignac number, because 252221511551413 - 2⁴⁵ = 217037139462581 is a prime.

It is a super-2 number, since 2×252221511551413² (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 (252221511555413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126110755775706 + 126110755775707.

It is an arithmetic number, because the mean of its divisors is an integer number (126110755775707).

Almost surely, 2^{252221511551413} is an apocalyptic number.

It is an amenable number.

252221511551413 is a deficient number, since it is larger than the sum of its proper divisors (1).

252221511551413 is an equidigital number, since it uses as much as digits as its factorization.

252221511551413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120000, while the sum is 40.

Adding to 252221511551413 its reverse (314155115122252), we get a palindrome (566376626673665).

The spelling of 252221511551413 in words is "two hundred fifty-two trillion, two hundred twenty-one billion, five hundred eleven million, five hundred fifty-one thousand, four hundred thirteen".