1012936500 has 144 divisors (see below), whose sum is σ = 3383701776. Its totient is φ = 254208000.

The previous prime is 1012936487. The next prime is 1012936513. The reversal of 1012936500 is 56392101.

1012936500 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 9 + 3 + 650 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1012936487) and next prime (1012936513).

It can be written as a sum of positive squares in 8 ways, for example, as 10074276 + 1002862224 = 3174^2 + 31668^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69880 + ... + 83120.

It is an arithmetic number, because the mean of its divisors is an integer number (23497929).

Almost surely, 2^1012936500 is an apocalyptic number.

1012936500 is a gapful number since it is divisible by the number (10) 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 1012936500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691850888).

1012936500 is an abundant number, since it is smaller than the sum of its proper divisors (2370765276).

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

1012936500 is a wasteful number, since it uses less digits than its factorization.

1012936500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13283 (or 13268 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1012936500 is about 31826.6633500906. The cubic root of 1012936500 is about 1004.2937043832.

The spelling of 1012936500 in words is "one billion, twelve million, nine hundred thirty-six thousand, five hundred".