1012131536 has 40 divisors (see below), whose sum is σ = 2124421320. Its totient is φ = 467121408.

The previous prime is 1012131529. The next prime is 1012131541. The reversal of 1012131536 is 6351312101.

It can be written as a sum of positive squares in 4 ways, for example, as 424360000 + 587771536 = 20600^2 + 24244^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20756 + ... + 49548.

It is an arithmetic number, because the mean of its divisors is an integer number (53110533).

Almost surely, 2^1012131536 is an apocalyptic number.

1012131536 is a gapful number since it is divisible by the number (16) 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 1012131536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062210660).

1012131536 is an abundant number, since it is smaller than the sum of its proper divisors (1112289784).

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

1012131536 is an equidigital number, since it uses as much as digits as its factorization.

1012131536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28840 (or 28808 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1012131536 is about 31814.0147733668. The cubic root of 1012131536 is about 1004.0276019776.

Adding to 1012131536 its reverse (6351312101), we get a palindrome (7363443637).

The spelling of 1012131536 in words is "one billion, twelve million, one hundred thirty-one thousand, five hundred thirty-six".