10777125 has 32 divisors (see below), whose sum is σ = 18570240. Its totient is φ = 5544000.

The previous prime is 10777121. The next prime is 10777127. The reversal of 10777125 is 52177701.

It is not a de Polignac number, because 10777125 - 2² = 10777121 is a prime.

It is a super-2 number, since 2×10777125² = 232292846531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10777092 and 10777101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10777121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10380 + ... + 11370.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 2^10777125 is an apocalyptic number.

10777125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10777125 is a deficient number, since it is larger than the sum of its proper divisors (7793115).

10777125 is an equidigital number, since it uses as much as digits as its factorization.

10777125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 30.

The square root of 10777125 is about 3282.8531797813. The cubic root of 10777125 is about 220.8857199399.

The spelling of 10777125 in words is "ten million, seven hundred seventy-seven thousand, one hundred twenty-five".