510825601 has 32 divisors (see below), whose sum is σ = 619911936. Its totient is φ = 414720000.

The previous prime is 510825587. The next prime is 510825641. The reversal of 510825601 is 106528015.

It is a 2-Lehmer number, since φ(510825601) divides (510825601-1)².

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 510825601 - 2⁵ = 510825569 is a prime.

It is a super-2 number, since 2×510825601² = 521885589274022402, which contains 22 as substring.

It is a deceptive number, since it divides R_510825600.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 510825601.

It is not an unprimeable number, because it can be changed into a prime (510825641) 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, 885025 + ... + 885601.

It is an arithmetic number, because the mean of its divisors is an integer number (19372248).

It is a Poulet number, since it divides 2^510825600-1.

Almost surely, 2^510825601 is an apocalyptic number.

It is an amenable number.

510825601 is a deficient number, since it is larger than the sum of its proper divisors (109086335).

510825601 is a wasteful number, since it uses less digits than its factorization.

510825601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793.

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 510825601 is about 22601.4513029584. The cubic root of 510825601 is about 799.3878655880.

The spelling of 510825601 in words is "five hundred ten million, eight hundred twenty-five thousand, six hundred one".