2575968516 has 81 divisors (see below), whose sum is σ = 7166561493. Its totient is φ = 779581440.

The previous prime is 2575968463. The next prime is 2575968523. The reversal of 2575968516 is 6158695752.

The square root of 2575968516 is 50754.

It is a perfect power (a square), and thus also a powerful number.

2575968516 is a `hidden beast` number, since 2 + 575 + 9 + 68 + 5 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1007808516 + 1568160000 = 31746^2 + 39600^2 .

It is a super-2 number, since 2×2575968516² = 13271227590846484512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3349380 + ... + 3350148.

Almost surely, 2^2575968516 is an apocalyptic number.

2575968516 is the 50754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2575968516

2575968516 is an abundant number, since it is smaller than the sum of its proper divisors (4590592977).

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

2575968516 is a wasteful number, since it uses less digits than its factorization.

2575968516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 785 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The cubic root of 2575968516 is about 1370.8192155808.

The spelling of 2575968516 in words is "two billion, five hundred seventy-five million, nine hundred sixty-eight thousand, five hundred sixteen".