1355265000 has 160 divisors (see below), whose sum is σ = 4704744000. Its totient is φ = 361368000.

The previous prime is 1355264947. The next prime is 1355265001. The reversal of 1355265000 is 5625531.

1355265000 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 2 + 650 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1355265001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 129981 + ... + 140019.

It is an arithmetic number, because the mean of its divisors is an integer number (29404650).

Almost surely, 2^1355265000 is an apocalyptic number.

1355265000 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 1355265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352372000).

1355265000 is an abundant number, since it is smaller than the sum of its proper divisors (3349479000).

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

1355265000 is a wasteful number, since it uses less digits than its factorization.

1355265000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10074 (or 10049 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1355265000 is about 36813.9239962273. The cubic root of 1355265000 is about 1106.6443581090.

The spelling of 1355265000 in words is "one billion, three hundred fifty-five million, two hundred sixty-five thousand".