1353234801831 has 64 divisors (see below), whose sum is σ = 2055104593920. Its totient is φ = 784813760640.

The previous prime is 1353234801827. The next prime is 1353234801913. The reversal of 1353234801831 is 1381084323531.

It is not a de Polignac number, because 1353234801831 - 2² = 1353234801827 is a prime.

It is a super-2 number, since 2×1353234801831² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353234801131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22569550 + ... + 22629428.

It is an arithmetic number, because the mean of its divisors is an integer number (32111009280).

Almost surely, 2^{1353234801831} is an apocalyptic number.

1353234801831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1353234801831 is a deficient number, since it is larger than the sum of its proper divisors (701869792089).

1353234801831 is a wasteful number, since it uses less digits than its factorization.

1353234801831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60236.

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 1353234801831 in words is "one trillion, three hundred fifty-three billion, two hundred thirty-four million, eight hundred one thousand, eight hundred thirty-one".