2572131000 has 256 divisors, whose sum is σ = 8329052160. Its totient is φ = 660441600.

The previous prime is 2572130999. The next prime is 2572131007. The reversal of 2572131000 is 1312752.

It is a super-2 number, since 2×2572131000² = 13231715762322000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2572131007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16382922 + ... + 16383078.

It is an arithmetic number, because the mean of its divisors is an integer number (32535360).

Almost surely, 2^2572131000 is an apocalyptic number.

2572131000 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 2572131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164526080).

2572131000 is an abundant number, since it is smaller than the sum of its proper divisors (5756921160).

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

2572131000 is a wasteful number, since it uses less digits than its factorization.

2572131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 2572131000 is about 50716.1808499023. The cubic root of 2572131000 is about 1370.1381571649.

Adding to 2572131000 its reverse (1312752), we get a palindrome (2573443752).

The spelling of 2572131000 in words is "two billion, five hundred seventy-two million, one hundred thirty-one thousand".