1253392038 has 96 divisors (see below), whose sum is σ = 3022156800. Its totient is φ = 373621248.

The previous prime is 1253392027. The next prime is 1253392043. The reversal of 1253392038 is 8302933521.

1253392038 is a `hidden beast` number, since 1 + 2 + 533 + 92 + 0 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1253391993 and 1253392011.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 620406 + ... + 622422.

It is an arithmetic number, because the mean of its divisors is an integer number (31480800).

Almost surely, 2^1253392038 is an apocalyptic number.

1253392038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253392038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511078400).

1253392038 is an abundant number, since it is smaller than the sum of its proper divisors (1768764762).

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

1253392038 is a wasteful number, since it uses less digits than its factorization.

1253392038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1253392038 is about 35403.2772211839. The cubic root of 1253392038 is about 1078.1908548759.

The spelling of 1253392038 in words is "one billion, two hundred fifty-three million, three hundred ninety-two thousand, thirty-eight".