513071677440 has 1152 divisors, whose sum is σ = 2153796765120. Its totient is φ = 116827619328.

The previous prime is 513071677429. The next prime is 513071677457. The reversal of 513071677440 is 44776170315.

513071677440 is a `hidden beast` number, since 5 + 130 + 7 + 1 + 6 + 77 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1950842749 + ... + 1950843011.

Almost surely, 2^513071677440 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 513071677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076898382560).

513071677440 is an abundant number, since it is smaller than the sum of its proper divisors (1640725087680).

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

513071677440 is an frugal number, since it uses more digits than its factorization.

513071677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 513071677440 in words is "five hundred thirteen billion, seventy-one million, six hundred seventy-seven thousand, four hundred forty".