1251010505232 has 160 divisors (see below), whose sum is σ = 3690572597760. Its totient is φ = 405440640000.

The previous prime is 1251010505221. The next prime is 1251010505237. The reversal of 1251010505232 is 2325050101521.

1251010505232 is a `hidden beast` number, since 1 + 25 + 10 + 105 + 0 + 523 + 2 = 666.

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 = 1251010505196 and 1251010505205.

It is not an unprimeable number, because it can be changed into a prime (1251010505237) 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, 22717732 + ... + 22772732.

It is an arithmetic number, because the mean of its divisors is an integer number (23066078736).

Almost surely, 2^{1251010505232} is an apocalyptic number.

1251010505232 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 1251010505232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845286298880).

1251010505232 is an abundant number, since it is smaller than the sum of its proper divisors (2439562092528).

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

1251010505232 is a wasteful number, since it uses less digits than its factorization.

1251010505232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56478 (or 56466 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 1251010505232 its reverse (2325050101521), we get a palindrome (3576060606753).

The spelling of 1251010505232 in words is "one trillion, two hundred fifty-one billion, ten million, five hundred five thousand, two hundred thirty-two".