123305325415553 has 16 divisors (see below), whose sum is σ = 130648672066320. Its totient is φ = 115972002840576.

The previous prime is 123305325415513. The next prime is 123305325415583. The reversal of 123305325415553 is 355514523503321.

It can be written as a sum of positive squares in 8 ways, for example, as 31800948828289 + 91504376587264 = 5639233^2 + 9565792^2 .

It is a cyclic number.

It is not a de Polignac number, because 123305325415553 - 2¹⁴ = 123305325399169 is a prime.

It is a super-3 number, since 3×123305325415553³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123305325415498 and 123305325415507.

It is not an unprimeable number, because it can be changed into a prime (123305325415513) 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, 293155325 + ... + 293575637.

It is an arithmetic number, because the mean of its divisors is an integer number (8165542004145).

Almost surely, 2^{123305325415553} is an apocalyptic number.

It is an amenable number.

123305325415553 is a deficient number, since it is larger than the sum of its proper divisors (7343346650767).

123305325415553 is a wasteful number, since it uses less digits than its factorization.

123305325415553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432196.

The product of its (nonzero) digits is 4050000, while the sum is 47.

Adding to 123305325415553 its reverse (355514523503321), we get a palindrome (478819848918874).

The spelling of 123305325415553 in words is "one hundred twenty-three trillion, three hundred five billion, three hundred twenty-five million, four hundred fifteen thousand, five hundred fifty-three".