512848401 has 32 divisors (see below), whose sum is σ = 797892480. Its totient is φ = 290110464.

The previous prime is 512848387. The next prime is 512848417. The reversal of 512848401 is 104848215.

It is a de Polignac number, because none of the positive numbers 2^k-512848401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (512848201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19515 + ... + 37503.

It is an arithmetic number, because the mean of its divisors is an integer number (24934140).

Almost surely, 2^512848401 is an apocalyptic number.

512848401 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

512848401 is a deficient number, since it is larger than the sum of its proper divisors (285044079).

512848401 is a wasteful number, since it uses less digits than its factorization.

512848401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18065.

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 512848401 is about 22646.1564288512. The cubic root of 512848401 is about 800.4416316778.

It can be divided in two parts, 51284 and 8401, that added together give a triangular number (59685 = T₃₄₅).

The spelling of 512848401 in words is "five hundred twelve million, eight hundred forty-eight thousand, four hundred one".