1355310000 has 450 divisors, whose sum is σ = 5314120812. Its totient is φ = 319680000.

The previous prime is 1355309959. The next prime is 1355310031. The reversal of 1355310000 is 135531.

It is a happy number.

1355310000 is a `hidden beast` number, since 1 + 355 + 310 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-2 number, since 2×1355310000² = 3673730392200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 36629982 + ... + 36630018.

Almost surely, 2^1355310000 is an apocalyptic number.

1355310000 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 1355310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657060406).

1355310000 is an abundant number, since it is smaller than the sum of its proper divisors (3958810812).

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

1355310000 is a wasteful number, since it uses less digits than its factorization.

1355310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 1355310000 is about 36814.5351729449. The cubic root of 1355310000 is about 1106.6566062536.

Adding to 1355310000 its reverse (135531), we get a palindrome (1355445531).

Multiplying 1355310000 by its reverse (135531), we get a square (183686519610000 = 13553100²).

1355310000 divided by its reverse (135531) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 135 and 5310000, that added together give a palindrome (5310135).

The spelling of 1355310000 in words is "one billion, three hundred fifty-five million, three hundred ten thousand".