523145113504 has 72 divisors (see below), whose sum is σ = 1115497848780. Its totient is φ = 241400659968.

The previous prime is 523145113409. The next prime is 523145113523. The reversal of 523145113504 is 405311541325.

It can be written as a sum of positive squares in 6 ways, for example, as 86937701904 + 436207411600 = 294852^2 + 660460^2 .

It is a super-2 number, since 2×523145113504² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 523145113504.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40494054 + ... + 40506970.

Almost surely, 2^523145113504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523145113504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557748924390).

523145113504 is an abundant number, since it is smaller than the sum of its proper divisors (592352735276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

523145113504 is a wasteful number, since it uses less digits than its factorization.

523145113504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20442 (or 20421 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 523145113504 its reverse (405311541325), we get a palindrome (928456654829).

The spelling of 523145113504 in words is "five hundred twenty-three billion, one hundred forty-five million, one hundred thirteen thousand, five hundred four".