1355305540 has 12 divisors (see below), whose sum is σ = 2846141676. Its totient is φ = 542122208.

The previous prime is 1355305537. The next prime is 1355305541. The reversal of 1355305540 is 455035531.

It can be written as a sum of positive squares in 2 ways, for example, as 264192516 + 1091113024 = 16254^2 + 33032^2 .

It is a super-4 number, since 4×1355305540⁴ (a number of 38 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1355305541) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33882619 + ... + 33882658.

It is an arithmetic number, because the mean of its divisors is an integer number (237178473).

Almost surely, 2^1355305540 is an apocalyptic number.

1355305540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355305540 is an abundant number, since it is smaller than the sum of its proper divisors (1490836136).

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

1355305540 is a wasteful number, since it uses less digits than its factorization.

1355305540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67765286 (or 67765284 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 31.

The square root of 1355305540 is about 36814.4745989943. The cubic root of 1355305540 is about 1106.6553923385.

The spelling of 1355305540 in words is "one billion, three hundred fifty-five million, three hundred five thousand, five hundred forty".