1012253523664 has 80 divisors (see below), whose sum is σ = 2086235222400. Its totient is φ = 474734227968.

The previous prime is 1012253523647. The next prime is 1012253523737. The reversal of 1012253523664 is 4663253522101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39560827 + ... + 39586405.

It is an arithmetic number, because the mean of its divisors is an integer number (26077940280).

Almost surely, 2^{1012253523664} 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 1012253523664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043117611200).

1012253523664 is an abundant number, since it is smaller than the sum of its proper divisors (1073981698736).

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

1012253523664 is a wasteful number, since it uses less digits than its factorization.

1012253523664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27692 (or 27686 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 1012253523664 in words is "one trillion, twelve billion, two hundred fifty-three million, five hundred twenty-three thousand, six hundred sixty-four".