1352431404511 has 32 divisors (see below), whose sum is σ = 1503229142016. Its totient is φ = 1206448992000.

The previous prime is 1352431404509. The next prime is 1352431404529. The reversal of 1352431404511 is 1154041342531.

It is a cyclic number.

It is not a de Polignac number, because 1352431404511 - 2¹ = 1352431404509 is a prime.

It is a super-2 number, since 2×1352431404511² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352431401511) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 229963291 + ... + 229969171.

It is an arithmetic number, because the mean of its divisors is an integer number (46975910688).

Almost surely, 2^{1352431404511} is an apocalyptic number.

1352431404511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1352431404511 is a deficient number, since it is larger than the sum of its proper divisors (150797737505).

1352431404511 is a wasteful number, since it uses less digits than its factorization.

1352431404511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7303.

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 1352431404511 in words is "one trillion, three hundred fifty-two billion, four hundred thirty-one million, four hundred four thousand, five hundred eleven".