1253251035648 has 400 divisors, whose sum is σ = 3782626271424. Its totient is φ = 413090979840.

The previous prime is 1253251035613. The next prime is 1253251035731. The reversal of 1253251035648 is 8465301523521.

It is a happy number.

1253251035648 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 251 + 0 + 356 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1723866261 + ... + 1723866987.

Almost surely, 2^{1253251035648} is an apocalyptic number.

1253251035648 is a gapful number since it is divisible by the number (18) 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 1253251035648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891313135712).

1253251035648 is an abundant number, since it is smaller than the sum of its proper divisors (2529375235776).

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

1253251035648 is an equidigital number, since it uses as much as digits as its factorization.

1253251035648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 1253251035648 in words is "one trillion, two hundred fifty-three billion, two hundred fifty-one million, thirty-five thousand, six hundred forty-eight".