1253052516000 has 96 divisors (see below), whose sum is σ = 4105000081728. Its totient is φ = 334147334400.

The previous prime is 1253052515951. The next prime is 1253052516013. The reversal of 1253052516000 is 6152503521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 52198522 + ... + 52222521.

It is an arithmetic number, because the mean of its divisors is an integer number (42760417518).

Almost surely, 2^{1253052516000} is an apocalyptic number.

1253052516000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253052516000 is an abundant number, since it is smaller than the sum of its proper divisors (2851947565728).

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

1253052516000 is a wasteful number, since it uses less digits than its factorization.

1253052516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104421071 (or 104421053 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 1253052516000 in words is "one trillion, two hundred fifty-three billion, fifty-two million, five hundred sixteen thousand".