10577825825 has 24 divisors (see below), whose sum is σ = 15779257920. Its totient is φ = 6871608000.

The previous prime is 10577825803. The next prime is 10577825837. The reversal of 10577825825 is 52852877501.

It is a happy number.

It is not a de Polignac number, because 10577825825 - 2²⁴ = 10561048609 is a prime.

It is a super-2 number, since 2×10577825825² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1587326 + ... + 1593975.

It is an arithmetic number, because the mean of its divisors is an integer number (657469080).

Almost surely, 2^10577825825 is an apocalyptic number.

It is an amenable number.

10577825825 is a deficient number, since it is larger than the sum of its proper divisors (5201432095).

10577825825 is a wasteful number, since it uses less digits than its factorization.

10577825825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181337 (or 3181332 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 50.

The spelling of 10577825825 in words is "ten billion, five hundred seventy-seven million, eight hundred twenty-five thousand, eight hundred twenty-five".