1352345120511 has 32 divisors (see below), whose sum is σ = 2248143206400. Its totient is φ = 702489139680.

The previous prime is 1352345120501. The next prime is 1352345120513. The reversal of 1352345120511 is 1150215432531.

It is not a de Polignac number, because 1352345120511 - 2¹¹ = 1352345118463 is a prime.

It is a super-2 number, since 2×1352345120511² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352345120513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6565000 + ... + 6767858.

It is an arithmetic number, because the mean of its divisors is an integer number (70254475200).

Almost surely, 2^{1352345120511} is an apocalyptic number.

1352345120511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1352345120511 is a deficient number, since it is larger than the sum of its proper divisors (895798085889).

1352345120511 is a wasteful number, since it uses less digits than its factorization.

1352345120511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231739.

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 1352345120511 in words is "one trillion, three hundred fifty-two billion, three hundred forty-five million, one hundred twenty thousand, five hundred eleven".