1355640631065 has 96 divisors (see below), whose sum is σ = 2725837111296. Its totient is φ = 610419922560.

The previous prime is 1355640631003. The next prime is 1355640631097. The reversal of 1355640631065 is 5601360465531.

It is a happy number.

1355640631065 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 6 + 4 + 0 + 631 + 0 + 6 + 5 = 666.

It is not a de Polignac number, because 1355640631065 - 2¹⁵ = 1355640598297 is a prime.

It is a super-2 number, since 2×1355640631065² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1355640631065.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24282874 + ... + 24338636.

It is an arithmetic number, because the mean of its divisors is an integer number (28394136576).

Almost surely, 2^{1355640631065} is an apocalyptic number.

1355640631065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1355640631065 is an abundant number, since it is smaller than the sum of its proper divisors (1370196480231).

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

1355640631065 is a wasteful number, since it uses less digits than its factorization.

1355640631065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56939 (or 56936 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 1355640631065 in words is "one trillion, three hundred fifty-five billion, six hundred forty million, six hundred thirty-one thousand, sixty-five".