510601056 has 96 divisors (see below), whose sum is σ = 1547175168. Its totient is φ = 144422400.

The previous prime is 510601051. The next prime is 510601061. The reversal of 510601056 is 650106015.

510601056 = 2793² + 2794² + ... + 2856².

It is an interprime number because it is at equal distance from previous prime (510601051) and next prime (510601061).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510601051) 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, 64111 + ... + 71633.

It is an arithmetic number, because the mean of its divisors is an integer number (16116408).

Almost surely, 2^510601056 is an apocalyptic number.

510601056 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 510601056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773587584).

510601056 is an abundant number, since it is smaller than the sum of its proper divisors (1036574112).

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

510601056 is a wasteful number, since it uses less digits than its factorization.

510601056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7644 (or 7636 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 510601056 is about 22596.4832662076. The cubic root of 510601056 is about 799.2707187214.

The spelling of 510601056 in words is "five hundred ten million, six hundred one thousand, fifty-six".