2551000520 has 64 divisors (see below), whose sum is σ = 5906271600. Its totient is φ = 990904320.

The previous prime is 2551000513. The next prime is 2551000547. The reversal of 2551000520 is 250001552.

It can be written as a sum of positive squares in 8 ways, for example, as 1512743236 + 1038257284 = 38894^2 + 32222^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2551000492 and 2551000501.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 947336 + ... + 950024.

Almost surely, 2^2551000520 is an apocalyptic number.

2551000520 is a gapful number since it is divisible by the number (20) 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 2551000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953135800).

2551000520 is an abundant number, since it is smaller than the sum of its proper divisors (3355271080).

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

2551000520 is a wasteful number, since it uses less digits than its factorization.

2551000520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 2551000520 is about 50507.4303444553. The cubic root of 2551000520 is about 1366.3758654192.

The spelling of 2551000520 in words is "two billion, five hundred fifty-one million, five hundred twenty", and thus it is an aban number.