1253320410 has 64 divisors (see below), whose sum is σ = 3202934400. Its totient is φ = 312778752.

The previous prime is 1253320363. The next prime is 1253320469. The reversal of 1253320410 is 140233521.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84426 + ... + 98154.

It is an arithmetic number, because the mean of its divisors is an integer number (50045850).

Almost surely, 2^1253320410 is an apocalyptic number.

1253320410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253320410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601467200).

1253320410 is an abundant number, since it is smaller than the sum of its proper divisors (1949613990).

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

1253320410 is a wasteful number, since it uses less digits than its factorization.

1253320410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13935.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1253320410 is about 35402.2656054666. The cubic root of 1253320410 is about 1078.1703159108.

Adding to 1253320410 its reverse (140233521), we get a palindrome (1393553931).

The spelling of 1253320410 in words is "one billion, two hundred fifty-three million, three hundred twenty thousand, four hundred ten".