252635516676541 has 2 divisors, whose sum is σ = 252635516676542. Its totient is φ = 252635516676540.

The previous prime is 252635516676493. The next prime is 252635516676553. The reversal of 252635516676541 is 145676615536252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218171983257316 + 34463533419225 = 14770646^2 + 5870565^2 .

It is a cyclic number.

It is not a de Polignac number, because 252635516676541 - 2¹⁷ = 252635516545469 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252635516676581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126317758338270 + 126317758338271.

It is an arithmetic number, because the mean of its divisors is an integer number (126317758338271).

Almost surely, 2^{252635516676541} is an apocalyptic number.

It is an amenable number.

252635516676541 is a deficient number, since it is larger than the sum of its proper divisors (1).

252635516676541 is an equidigital number, since it uses as much as digits as its factorization.

252635516676541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 272160000, while the sum is 64.

The spelling of 252635516676541 in words is "two hundred fifty-two trillion, six hundred thirty-five billion, five hundred sixteen million, six hundred seventy-six thousand, five hundred forty-one".