1005251433032 has 96 divisors (see below), whose sum is σ = 2395982423520. Its totient is φ = 390988200960.

The previous prime is 1005251433031. The next prime is 1005251433041. The reversal of 1005251433032 is 2303341525001.

It is a happy number.

It is a super-2 number, since 2×1005251433032² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005251432986 and 1005251433004.

It is not an unprimeable number, because it can be changed into a prime (1005251433031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2332568 + ... + 2729720.

It is an arithmetic number, because the mean of its divisors is an integer number (24958150245).

Almost surely, 2^{1005251433032} 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 1005251433032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197991211760).

1005251433032 is an abundant number, since it is smaller than the sum of its proper divisors (1390730990488).

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

1005251433032 is a wasteful number, since it uses less digits than its factorization.

1005251433032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397771 (or 397760 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 1005251433032 its reverse (2303341525001), we get a palindrome (3308592958033).

The spelling of 1005251433032 in words is "one trillion, five billion, two hundred fifty-one million, four hundred thirty-three thousand, thirty-two".