7257582820 has 24 divisors (see below), whose sum is σ = 15295956984. Its totient is φ = 2892550656.

The previous prime is 7257582803. The next prime is 7257582821. The reversal of 7257582820 is 282857527.

It can be written as a sum of positive squares in 4 ways, for example, as 563397696 + 6694185124 = 23736^2 + 81818^2 .

It is not an unprimeable number, because it can be changed into a prime (7257582821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 649477 + ... + 660556.

It is an arithmetic number, because the mean of its divisors is an integer number (637331541).

Almost surely, 2^7257582820 is an apocalyptic number.

It is an amenable number.

7257582820 is an abundant number, since it is smaller than the sum of its proper divisors (8038374164).

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

7257582820 is a wasteful number, since it uses less digits than its factorization.

7257582820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310319 (or 1310317 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 46.

The square root of 7257582820 is about 85191.4480449769. The cubic root of 7257582820 is about 1936.1128475219.

The spelling of 7257582820 in words is "seven billion, two hundred fifty-seven million, five hundred eighty-two thousand, eight hundred twenty".