1253415514000 has 320 divisors, whose sum is σ = 3348988651008. Its totient is φ = 450793728000.

The previous prime is 1253415513997. The next prime is 1253415514007. The reversal of 1253415514000 is 4155143521.

It is not an unprimeable number, because it can be changed into a prime (1253415514007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470676669 + ... + 470679331.

Almost surely, 2^{1253415514000} is an apocalyptic number.

1253415514000 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 1253415514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674494325504).

1253415514000 is an abundant number, since it is smaller than the sum of its proper divisors (2095573137008).

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

1253415514000 is a wasteful number, since it uses less digits than its factorization.

1253415514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 1253415514000 in words is "one trillion, two hundred fifty-three billion, four hundred fifteen million, five hundred fourteen thousand".