1253272410 has 192 divisors, whose sum is σ = 3718915200. Its totient is φ = 290594304.

The previous prime is 1253272409. The next prime is 1253272429. The reversal of 1253272410 is 142723521.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1458561 + ... + 1459419.

It is an arithmetic number, because the mean of its divisors is an integer number (19369350).

Almost surely, 2^1253272410 is an apocalyptic number.

1253272410 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 1253272410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859457600).

1253272410 is an abundant number, since it is smaller than the sum of its proper divisors (2465642790).

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

1253272410 is a wasteful number, since it uses less digits than its factorization.

1253272410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1253272410 is about 35401.5876762611. The cubic root of 1253272410 is about 1078.1565517168.

Adding to 1253272410 its reverse (142723521), we get a palindrome (1395995931).

The spelling of 1253272410 in words is "one billion, two hundred fifty-three million, two hundred seventy-two thousand, four hundred ten".