1353114319 has 16 divisors (see below), whose sum is σ = 1433226240. Its totient is φ = 1275684480.

The previous prime is 1353114313. The next prime is 1353114331. The reversal of 1353114319 is 9134113531.

It is a cyclic number.

It is not a de Polignac number, because 1353114319 - 2¹³ = 1353106127 is a prime.

It is a super-2 number, since 2×1353114319² = 3661836720565667522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353114313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203404 + ... + 209950.

It is an arithmetic number, because the mean of its divisors is an integer number (89576640).

Almost surely, 2^1353114319 is an apocalyptic number.

1353114319 is a deficient number, since it is larger than the sum of its proper divisors (80111921).

1353114319 is a wasteful number, since it uses less digits than its factorization.

1353114319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6750.

The product of its digits is 4860, while the sum is 31.

The square root of 1353114319 is about 36784.7022415569. The cubic root of 1353114319 is about 1106.0586672236.

The spelling of 1353114319 in words is "one billion, three hundred fifty-three million, one hundred fourteen thousand, three hundred nineteen".