1253051575072 has 192 divisors, whose sum is σ = 2876615368704. Its totient is φ = 531564042240.

The previous prime is 1253051575063. The next prime is 1253051575121. The reversal of 1253051575072 is 2705751503521.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545515428 + ... + 545517724.

It is an arithmetic number, because the mean of its divisors is an integer number (14982371712).

Almost surely, 2^{1253051575072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253051575072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438307684352).

1253051575072 is an abundant number, since it is smaller than the sum of its proper divisors (1623563793632).

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

1253051575072 is a wasteful number, since it uses less digits than its factorization.

1253051575072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 367500, while the sum is 43.

The spelling of 1253051575072 in words is "one trillion, two hundred fifty-three billion, fifty-one million, five hundred seventy-five thousand, seventy-two".