252777024 has 70 divisors (see below), whose sum is σ = 749325654. Its totient is φ = 84257280.

The previous prime is 252777023. The next prime is 252777037. The reversal of 252777024 is 420777252.

It can be written as a sum of positive squares in only one way, i.e., 250905600 + 1871424 = 15840^2 + 1368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 252777024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252777023) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19197 + ... + 29564.

Almost surely, 2^252777024 is an apocalyptic number.

252777024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252777024 is an abundant number, since it is smaller than the sum of its proper divisors (496548630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252777024 is an equidigital number, since it uses as much as digits as its factorization.

252777024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48785 (or 48766 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 252777024 is about 15898.9629850503. The cubic root of 252777024 is about 632.2844951059.

The spelling of 252777024 in words is "two hundred fifty-two million, seven hundred seventy-seven thousand, twenty-four".