6517135157500 has 240 divisors, whose sum is σ = 16246707789312. Its totient is φ = 2263551840000.

The previous prime is 6517135157497. The next prime is 6517135157513. The reversal of 6517135157500 is 57515317156.

It is a super-2 number, since 2×6517135157500² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 459820414 + ... + 459834586.

Almost surely, 2^{6517135157500} 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 6517135157500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8123353894656).

6517135157500 is an abundant number, since it is smaller than the sum of its proper divisors (9729572631812).

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

6517135157500 is a wasteful number, since it uses less digits than its factorization.

6517135157500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14958 (or 14941 counting only the distinct ones).

The product of its (nonzero) digits is 551250, while the sum is 46.

The spelling of 6517135157500 in words is "six trillion, five hundred seventeen billion, one hundred thirty-five million, one hundred fifty-seven thousand, five hundred".