513163071120 has 80 divisors (see below), whose sum is σ = 1818063457920. Its totient is φ = 117294415872.

The previous prime is 513163071061. The next prime is 513163071121. The reversal of 513163071120 is 21170361315.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×513163071120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (513163071121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152725425 + ... + 152728784.

It is an arithmetic number, because the mean of its divisors is an integer number (22725793224).

Almost surely, 2^513163071120 is an apocalyptic number.

It is an amenable number.

513163071120 is an abundant number, since it is smaller than the sum of its proper divisors (1304900386800).

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

513163071120 is a wasteful number, since it uses less digits than its factorization.

513163071120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305454232 (or 305454226 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 513163071120 in words is "five hundred thirteen billion, one hundred sixty-three million, seventy-one thousand, one hundred twenty".