252777567 has 16 divisors (see below), whose sum is σ = 401932800. Its totient is φ = 138163872.

The previous prime is 252777527. The next prime is 252777589. The reversal of 252777567 is 765777252.

252777567 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252777567 - 2¹⁴ = 252761183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252777527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261192 + ... + 262157.

It is an arithmetic number, because the mean of its divisors is an integer number (25120800).

Almost surely, 2^252777567 is an apocalyptic number.

252777567 is a deficient number, since it is larger than the sum of its proper divisors (149155233).

252777567 is a wasteful number, since it uses less digits than its factorization.

252777567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523382.

The product of its digits is 1440600, while the sum is 48.

The square root of 252777567 is about 15898.9800616266. The cubic root of 252777567 is about 632.2849478504.

The spelling of 252777567 in words is "two hundred fifty-two million, seven hundred seventy-seven thousand, five hundred sixty-seven".