252601561477567 has 2 divisors, whose sum is σ = 252601561477568. Its totient is φ = 252601561477566.

The previous prime is 252601561477549. The next prime is 252601561477591. The reversal of 252601561477567 is 765774165106252.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 252601561477567 - 2¹¹ = 252601561475519 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252601561477499 and 252601561477508.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252601561477537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126300780738783 + 126300780738784.

It is an arithmetic number, because the mean of its divisors is an integer number (126300780738784).

Almost surely, 2^{252601561477567} is an apocalyptic number.

252601561477567 is a deficient number, since it is larger than the sum of its proper divisors (1).

252601561477567 is an equidigital number, since it uses as much as digits as its factorization.

252601561477567 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 148176000, while the sum is 64.

The spelling of 252601561477567 in words is "two hundred fifty-two trillion, six hundred one billion, five hundred sixty-one million, four hundred seventy-seven thousand, five hundred sixty-seven".