513251276440 has 128 divisors (see below), whose sum is σ = 1356386227200. Its totient is φ = 171098749440.

The previous prime is 513251276437. The next prime is 513251276449. The reversal of 513251276440 is 44672152315.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 513251276393 and 513251276402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513251276449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15844981 + ... + 15877339.

It is an arithmetic number, because the mean of its divisors is an integer number (10596767400).

Almost surely, 2^513251276440 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 513251276440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678193113600).

513251276440 is an abundant number, since it is smaller than the sum of its proper divisors (843134950760).

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

513251276440 is a wasteful number, since it uses less digits than its factorization.

513251276440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33945 (or 33941 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 513251276440 in words is "five hundred thirteen billion, two hundred fifty-one million, two hundred seventy-six thousand, four hundred forty".