1253965050 has 288 divisors, whose sum is σ = 3992369472. Its totient is φ = 289889280.

The previous prime is 1253965043. The next prime is 1253965061. The reversal of 1253965050 is 505693521.

1253965050 is a `hidden beast` number, since 12 + 53 + 96 + 505 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1253964996 and 1253965014.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2684917 + ... + 2685383.

It is an arithmetic number, because the mean of its divisors is an integer number (13862394).

Almost surely, 2^1253965050 is an apocalyptic number.

1253965050 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 1253965050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996184736).

1253965050 is an abundant number, since it is smaller than the sum of its proper divisors (2738404422).

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

1253965050 is a wasteful number, since it uses less digits than its factorization.

1253965050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 1253965050 is about 35411.3689371083. The cubic root of 1253965050 is about 1078.3551349932.

The spelling of 1253965050 in words is "one billion, two hundred fifty-three million, nine hundred sixty-five thousand, fifty".