513154457088 has 640 divisors, whose sum is σ = 1737932765184. Its totient is φ = 130940928000.

The previous prime is 513154457087. The next prime is 513154457093. The reversal of 513154457088 is 880754451315.

513154457088 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 513154457088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513154457087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 865352920 + ... + 865353512.

Almost surely, 2^513154457088 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 513154457088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868966382592).

513154457088 is an abundant number, since it is smaller than the sum of its proper divisors (1224778308096).

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

513154457088 is a wasteful number, since it uses less digits than its factorization.

513154457088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 51.

The spelling of 513154457088 in words is "five hundred thirteen billion, one hundred fifty-four million, four hundred fifty-seven thousand, eighty-eight".