1025233632 has 96 divisors (see below), whose sum is σ = 3017014560. Its totient is φ = 338688000.

The previous prime is 1025233621. The next prime is 1025233633. The reversal of 1025233632 is 2363325201.

1025233632 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 23 + 3 + 632 = 666.

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

It is a super-2 number, since 2×1025233632² = 2102208000367822848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1025233596 and 1025233605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025233633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92382 + ... + 102882.

It is an arithmetic number, because the mean of its divisors is an integer number (31427235).

Almost surely, 2^1025233632 is an apocalyptic number.

1025233632 is a gapful number since it is divisible by the number (12) 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 1025233632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508507280).

1025233632 is an abundant number, since it is smaller than the sum of its proper divisors (1991780928).

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

1025233632 is a wasteful number, since it uses less digits than its factorization.

1025233632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10633 (or 10619 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1025233632 is about 32019.2696981052. The cubic root of 1025233632 is about 1008.3414376205.

Adding to 1025233632 its reverse (2363325201), we get a palindrome (3388558833).

The spelling of 1025233632 in words is "one billion, twenty-five million, two hundred thirty-three thousand, six hundred thirty-two".