1253136580 has 24 divisors (see below), whose sum is σ = 2632938840. Its totient is φ = 500997120.

The previous prime is 1253136571. The next prime is 1253136601. The reversal of 1253136580 is 856313521.

It can be written as a sum of positive squares in 4 ways, for example, as 43349056 + 1209787524 = 6584^2 + 34782^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26566 + ... + 56674.

It is an arithmetic number, because the mean of its divisors is an integer number (109705785).

Almost surely, 2^1253136580 is an apocalyptic number.

1253136580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253136580 is an abundant number, since it is smaller than the sum of its proper divisors (1379802260).

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

1253136580 is a wasteful number, since it uses less digits than its factorization.

1253136580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32199 (or 32197 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 1253136580 is about 35399.6692074940. The cubic root of 1253136580 is about 1078.1176000108.

The spelling of 1253136580 in words is "one billion, two hundred fifty-three million, one hundred thirty-six thousand, five hundred eighty".