1011753125 has 18 divisors (see below), whose sum is σ = 1266836886. Its totient is φ = 807980000.

The previous prime is 1011753103. The next prime is 1011753143. The reversal of 1011753125 is 5213571101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 905889604 + 105863521 = 30098^2 + 10289^2 .

It is not a de Polignac number, because 1011753125 - 2¹⁰ = 1011752101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011753094 and 1011753103.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 1777841 + ... + 1778409.

It is an arithmetic number, because the mean of its divisors is an integer number (70379827).

Almost surely, 2^1011753125 is an apocalyptic number.

It is an amenable number.

1011753125 is a deficient number, since it is larger than the sum of its proper divisors (255083761).

1011753125 is an frugal number, since it uses more digits than its factorization.

1011753125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 26.

The square root of 1011753125 is about 31808.0669799345. The cubic root of 1011753125 is about 1003.9024593340.

The spelling of 1011753125 in words is "one billion, eleven million, seven hundred fifty-three thousand, one hundred twenty-five".