511745136 has 120 divisors (see below), whose sum is σ = 1565625984. Its totient is φ = 141093120.

The previous prime is 511745099. The next prime is 511745153. The reversal of 511745136 is 631547115.

It is a junction number, because it is equal to n+sod(n) for n = 511745097 and 511745106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281671 + ... + 283481.

Almost surely, 2^511745136 is an apocalyptic number.

511745136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511745136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782812992).

511745136 is an abundant number, since it is smaller than the sum of its proper divisors (1053880848).

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

511745136 is a wasteful number, since it uses less digits than its factorization.

511745136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1852 counting only the distinct ones).

The product of its digits is 12600, while the sum is 33.

The square root of 511745136 is about 22621.7845449911. The cubic root of 511745136 is about 799.8672363018.

The spelling of 511745136 in words is "five hundred eleven million, seven hundred forty-five thousand, one hundred thirty-six".