61001125 has 8 divisors (see below), whose sum is σ = 76129560. Its totient is φ = 48800800.

The previous prime is 61001119. The next prime is 61001137. The reversal of 61001125 is 52110016.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17322244 + 43678881 = 4162^2 + 6609^2 .

It is not a de Polignac number, because 61001125 - 2⁵ = 61001093 is a prime.

It is a super-2 number, since 2×61001125² = 7442274502531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61001099 and 61001108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243880 + ... + 244129.

It is an arithmetic number, because the mean of its divisors is an integer number (9516195).

Almost surely, 2^61001125 is an apocalyptic number.

It is an amenable number.

61001125 is a deficient number, since it is larger than the sum of its proper divisors (15128435).

61001125 is an equidigital number, since it uses as much as digits as its factorization.

61001125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488024 (or 488014 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 61001125 is about 7810.3216963196. The cubic root of 61001125 is about 393.6521382731.

It can be divided in two parts, 6100 and 1125, that added together give a square (7225 = 85²).

The spelling of 61001125 in words is "sixty-one million, one thousand, one hundred twenty-five".