1253051640 has 256 divisors, whose sum is σ = 4463424000. Its totient is φ = 311592960.

The previous prime is 1253051609. The next prime is 1253051659. The reversal of 1253051640 is 461503521.

1253051640 is a `hidden beast` number, since 12 + 5 + 3 + 0 + 5 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2551795 + ... + 2552285.

It is an arithmetic number, because the mean of its divisors is an integer number (17435250).

Almost surely, 2^1253051640 is an apocalyptic number.

1253051640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253051640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231712000).

1253051640 is an abundant number, since it is smaller than the sum of its proper divisors (3210372360).

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

1253051640 is a wasteful number, since it uses less digits than its factorization.

1253051640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1253051640 is about 35398.4694584385. The cubic root of 1253051640 is about 1078.0932405011.

The spelling of 1253051640 in words is "one billion, two hundred fifty-three million, fifty-one thousand, six hundred forty".