1253151681232 has 160 divisors (see below), whose sum is σ = 2783184364800. Its totient is φ = 541552128000.

The previous prime is 1253151681203. The next prime is 1253151681233. The reversal of 1253151681232 is 2321861513521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253151681233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56973757 + ... + 56995747.

It is an arithmetic number, because the mean of its divisors is an integer number (17394902280).

Almost surely, 2^{1253151681232} 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 1253151681232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391592182400).

1253151681232 is an abundant number, since it is smaller than the sum of its proper divisors (1530032683568).

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

1253151681232 is a wasteful number, since it uses less digits than its factorization.

1253151681232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22253 (or 22247 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The spelling of 1253151681232 in words is "one trillion, two hundred fifty-three billion, one hundred fifty-one million, six hundred eighty-one thousand, two hundred thirty-two".