1353518072799 has 16 divisors (see below), whose sum is σ = 1843377575424. Its totient is φ = 883190692800.

The previous prime is 1353518072723. The next prime is 1353518072801. The reversal of 1353518072799 is 9972708153531.

It is not a de Polignac number, because 1353518072799 - 2¹⁶ = 1353518007263 is a prime.

It is a super-2 number, since 2×1353518072799² (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 (1353518072299) 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, 23560807 + ... + 23618184.

It is an arithmetic number, because the mean of its divisors is an integer number (115211098464).

Almost surely, 2^{1353518072799} is an apocalyptic number.

1353518072799 is a deficient number, since it is larger than the sum of its proper divisors (489859502625).

1353518072799 is a wasteful number, since it uses less digits than its factorization.

1353518072799 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47179198.

The product of its (nonzero) digits is 14288400, while the sum is 60.

The spelling of 1353518072799 in words is "one trillion, three hundred fifty-three billion, five hundred eighteen million, seventy-two thousand, seven hundred ninety-nine".