1356010000 has 50 divisors (see below), whose sum is σ = 3283060022. Its totient is φ = 542400000.

The previous prime is 1356009997. The next prime is 1356010009. The reversal of 1356010000 is 106531.

It can be written as a sum of positive squares in 5 ways, for example, as 669360384 + 686649616 = 25872^2 + 26204^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1356010009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 57801 + ... + 77800.

Almost surely, 2^1356010000 is an apocalyptic number.

1356010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1356010000 is an abundant number, since it is smaller than the sum of its proper divisors (1927050022).

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

1356010000 is an equidigital number, since it uses as much as digits as its factorization.

1356010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135629 (or 135608 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1356010000 is about 36824.0410601553. The cubic root of 1356010000 is about 1106.8470980465.

Adding to 1356010000 its reverse (106531), we get a palindrome (1356116531).

The spelling of 1356010000 in words is "one billion, three hundred fifty-six million, ten thousand".